Complex analytic coordinates in almost complex manifolds
From MaRDI portal
Publication:768755
DOI10.2307/1970051zbMath0079.16102OpenAlexW2335103288WikidataQ56334859 ScholiaQ56334859MaRDI QIDQ768755
Publication date: 1957
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970051
Related Items
Nonorientable manifolds, complex and symplectic structures, and characteristic classes, Transversal group actions on CR manifolds and embeddability, Orbits of families of vector fields on subcartesian spaces., Block-diagonalizability problem for hydrodynamic type systems, GEOMETRIC STRUCTURES ON PATH SPACES, On contact structure of hypersurfaces in complex manifolds. I, Hodge decompositions for Lie algebroids on manifolds with boundary, The Hodge star operator and the Beltrami equation, On the persistence of pseudo-holomorphic curves on an almost complex torus (with an appendix by Jürgen Pöschel), Algebraic approximations in analytic geometry, To the problem of determining a mapping from its normalized Jacobi matrix, Inverse boundary problems for systems in two dimensions, Erratum: “Complex structure on the six dimensional sphere from a spontaneous symmetry breaking” [J. Math. Phys. 56, 043508 (2015)], De Rham theorems and Neumann decomposition associated with linear partial differential equations, Sulle connessioni di una varieta quasi complessa, Symmetries of almost complex structures and pseudoholomorphic foliations, Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem, Optical geometries and related structures, On Kähler-like and \(G\)-Kähler-like almost Hermitian manifolds, Sub-Hermitian geometry and the quantitative Newlander-Nirenberg theorem, The existence of \(J\)-holomorphic curves in almost Hermitian manifolds, Complexification, twistor theory and harmonic maps from Riemann surfaces, Almost Kähler geometry of adjoint orbits of semisimple Lie groups, Partial integrability of almost complex structures on Thurston manifolds, Stratified manifold of quantum states, actions of the complex special linear group, Analytic classification of foliations induced by germs of holomorphic vector fields in \((\mathbb {C}^{n},0)\) with non-isolated singularities, Explicit pseudo-Kähler metrics on flag manifolds, Algebraic identities for the Nijenhuis tensors, Exploring the unknown: the work of Louis Nirenberg on partial differential equations, Generalized Nijenhuis torsions and block-diagonalization of operator fields, Affine connexions in an almost product space, Integrable almost complex structures in principal bundles and holomorphic curves, Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics, Hyperbolicity of Hartogs domains in almost complex manifolds, Hermitian metrics of constant Chern scalar curvature on ruled surfaces, Tensor Fields and Their Parallelism, Haantjes algebras and diagonalization, Holomorphic Yang-Mills theory on compact Kähler manifolds, Partially integrable almost complex structures, An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane, Higher order Levi forms on homogeneous CR manifolds, Dolbeault cohomology for almost complex manifolds, A new class of contact pseudo framed manifolds with applications, Stein structures and holomorphic mappings, A faithful braid group action on the stable category of tricomplexes, Aspects of the Levi form, Physical space-time and nonrealizable 𝐶𝑅-structures, Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler, Classification analytique des équations différentielles non linéaires résonnantes du premier ordre, Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry, Statistical mirror symmetry, Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators, The Chirka-Lindelöf and Fatou theorems for \(\overline{\partial}_J\)-subsolutions, Sobolev spaces on quasi-Kähler complex varieties, Some aspects of analysis on almost complex manifolds with boundary, Vanishing theorems on compact hyper-Kähler manifolds, The resolution of the Yang-Mills plateau problem in super-critical dimensions, Complete prolongation for infinitesimal automorphisms on almost complex manifolds, Natural operators on tensor fields, Sobolev connections and holomorphic structures over Kähler surfaces, Local integrability of CR-hypersurfaces, Generalized Moser lemma, Partial integrability of compatible almost complex structures on twistor spaces, Integrability condition on an almost complex structure and its application, Metrisability of projective surfaces and pseudo-holomorphic curves, On the geometry of model almost complex manifolds with boundary, Common boundary values of holomorphic functions for two-sided complex structures, A short note on the local solvability of the quaternionic Beltrami equation, Complex, symplectic, and contact structures on low-dimensional Lie groups, Almost complex manifolds and Cartan’s uniqueness theorem, On the conformally balanced condition on almost Hermitian manifolds and the quasi-Kählerity, A Frobenius-Nirenberg theorem with parameter, Lower order tensors in non-Kähler geometry and non-Kähler geometric flow, The Frobenius-Nirenberg theorem, Intégrabilité des G-structures définies par une 1-forme 0-déformable à valeurs dans le fibre tangent, \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator, Affine connections on homogeneous hypercomplex manifolds, Some geometric and analytic properties of homogeneous complex manifolds. I: Sheaves and cohomology. II: Deformation and bundle theory, Lorentzian Geometry and CR-Submanifolds, Conformal maps of almost Kaehlerian manifolds, Nijenhuis geometry, Hyperkähler metrics near Lagrangian submanifolds and symplectic groupoids, On maximal families of compact complex submanifolds of complex manifolds, Locally conformally symplectic reduction, The Teichmüller and Riemann moduli stacks, Hilbert-Perelman’s functional and Lagrange multipliers, The complex Frobenius theorem for rough involutive structures, A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles, Ein neuer Beweis des Satzes von Kodaira-Nirenberg-Spencer, Gravitational instantons with faster than quadratic curvature decay. II, Integrability of analytic almost complex structures on Banach manifolds, Sharp regularity for the integrability of elliptic structures, TOTAL REALITY OF CONORMAL BUNDLES OF HYPERSURFACES IN ALMOST COMPLEX MANIFOLDS, Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold, Plurisubharmonic functions in almost complex manifolds, Twistor spaces of hypercomplex manifolds are balanced, Scalar curvatures in almost Hermitian geometry and some applications, CRITICAL HERMITIAN STRUCTURES ON THE PRODUCT OF SASAKIAN MANIFOLDS, Higher Haantjes brackets and integrability, Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance, Pure spinors, intrinsic torsion and curvature in even dimensions, Group manifolds and homogeneous spaces with HKT geometry: the role of automorphisms, CR structures with group action and extendability of CR functions, A collar neighborhood theorem for a complex manifold, On a homeomorphic solution to a multidimensional analog of the Beltrami equation, A note on the automorphism group of a compact complex manifold, CR-structures and Lorentzian geometry, The Einstein-Maxwell equations and conformally Kähler geometry, Hyperkähler metrics and supersymmetry, Embeddability of abstract CR structures and integrability of related systems, The globally homeomorphic solutions to Beltrami system in \(\mathbb{C}^ n\), Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds, Coordinates adapted to vector fields: canonical coordinates, Supersymmetric field theories on three-manifolds, Integrable submanifolds in almost complex manifolds, A new proof of the Newlander-Nirenberg theorem, On the geometry of almost complex 6-manifolds, A generalization of the Goldberg-Sachs theorem and its consequences, Nonlinear gravitons, null geodesics, and holomorphic disks, Hyperkähler structures and infinite-dimensional Grassmannians, The cohomologies of the Iwasawa manifold and of its small deformations, Transversal Lie group actions on abstract CR manifolds, Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point, \(L^2\)-estimates with Levi-singular weight, and existence for \(\overline{\partial}\), Decoupling problem for systems of quasi-linear PDE's, Recent development in the theory of connections and holonomy groups, Non-commutative complex differential geometry, Twistor space of a generalized quaternionic Kähler manifold, Topological methods in moduli theory, Minkowski superspaces and superstrings as almost real-complex supermanifolds, The infinite groups of Lie and Cartan. I: The transitive groups, Differential and holomorphic differential operators on noncommutative algebras, On the upper-semicontinuity of automorphism groups of model domains in almost complex manifolds, Hermitian metrics on Calabi--Eckmann manifolds., Compact Kähler manifolds of positive bisectional curvature, Structure preserving transformations in hyperkähler Euclidean spaces, On the history of the Hopf problem, Almost complex structures on spheres, Non-existence of orthogonal complex structures on the round 6-sphere, Equivariant holomorphic Hermitian principal bundles over a generalized flag manifold, Compatible complex structures on twistor space, Complex and quaternionic analyticity in chiral and gauge theories. I, Some remarks on generalized Grassmann manifolds, The Picard group of the moduli space of \(r\)-spin Riemann surfaces, Existence of solutions to a multidimensional analog of the Beltrami equation, Integrability of rough almost complex structures, The Yamabe problem for almost Hermitian manifolds, Characterization of the generic unfolding of a weak focus, Pseudo-Hermitian geometry in 3-D, A general theory of quantum relativity, Several special complex structures and their deformation properties, A formally Kähler structure on a knot space of a \(G_2\)-manifold, Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue, Propagation of holomorphic extendability of CR functions, Cauchy-Riemann functions on manifolds of higher codimension in complex space, Yang-Mills and bundles over algebraic curves, Symmetry and quaternionic integrable systems, Symplectic geometry on moduli spaces of \(J\)-holomorphic curves, Kuranishi-type moduli spaces for proper CR-submersions fibering over the circle, Canonical transformations for hyperhamiltonian dynamics in Euclidean spaces, Singularities and semistable degenerations for symplectic topology, Kähler-Einstein metrics: old and new, Higher dimensional generalizations of twistor spaces, On strongly Gauduchon metrics of almost complex manifolds, Results concerning almost complex structures on the six-sphere, A global and stochastic analysis approach to bosonic strings and associated quantum fields, Semirigid geometry, Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces, Hermitian structures on the product of Sasakian manifolds, Morse theory, Higgs fields, and Yang-Mills-Higgs functionals, Smoothing methods of Cousin type and their applications to global factorizations of generalized analytic functions in several complex variables, On almost complex structures which are not compatible with symplectic forms, The inverse problem in the calculus of variations and the geometry of the tangent bundle, A boundary uniqueness theorem for holomorphic functions of several complex variables, Geometric realizations of affine Kähler curvature models, Real homotopy theory of Kähler manifolds, The complex Frobenius theorem and uniqueness of solutions to the tangential Cauchy-Riemann equations, Smoothly parameterized Čech cohomology of complex manifolds, On Hermitian curvature flow on almost complex manifolds, Curvature identities for Hermitian and almost Hermitian manifolds, Lorentzian geometry of CR submanifolds, Instantons and algebraic geometry, On algebras of holomorphic functions on finite pseudoconvex manifolds, On a generalization of the Hopf fibration. II: Complex structures on the products of generalized Brieskorn manifolds, Some applications of globally framed structures to relativity, Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings, Sur certaines structures fibrées complexes, Almost analytic vectors in almost complex spaces, On some structures which are similar to the quaternion structure, Operad profiles of Nijenhuis structures, Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics, On sharp rates and analytic compactifications of asymptotically conical Kähler metrics, On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface, Problèmes de modules pour des équations différentielles non linéaires du premier ordre, On geometric quantization of compact, complex manifolds, Global realization of strongly pseudoconvex CR manifolds, Geometry of quaternionic Kähler connections with torsion, Existence of holomorphic functions on almost complex manifolds, Generalized prequantization on principal bundles over homogeneous spaces and its applications, A differential-geometric approach to deformations of pairs \((X, E)\), Unnamed Item, The Kobayashi Pseudometric on Algebraic Manifolds of General Type and in Deformations of Complex Manifolds, On certain operators associated with tensor fields, On the Fatou theorem for ∂̄J-subsolutions in wedges, COMPLEX STRUCTURES ON INDECOMPOSABLE 6-DIMENSIONAL NILPOTENT REAL LIE ALGEBRAS, LEFT INVARIANT COMPLEX STRUCTURES ON NILPOTENT SIMPLY CONNECTED INDECOMPOSABLE 6-DIMENSIONAL REAL LIE GROUPS, CR structures on open manifolds, Twistor representation of Yang–Mills fields on Minkowski space, Nullity of the Levi-form and the associated subvarieties for pseudo-convex CR structures of hypersurface type, Covariant Lie derivatives and Frölicher–Nijenhuis bracket on Lie algebroids, The Classification of Branched Willmore Spheres in the 3-Sphere and the 4-Sphere, INFORMATION GEOMETRY FOR SOME LIE ALGEBRAS, Introduction to Nonabelian Hodge Theory, Manifolds Which Are Complex and Symplectic But Not Kähler, Sur le théorème de Frobenius, Irreducible Characters and Semisimple Coadjoint Orbits, A stability theorem for projective CR manifolds, Nijenhuis–Bianchi identity and BRST-like operators, Local Integrability of Mizohata Structures, Unnamed Item, Vector fields in Riemannian and Hermitian manifolds with boundary, Integration of complex vector fields, The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry, Hypercomplex almost abelian solvmanifolds, Polarization of generalized Nijenhuis torsions, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds, TIME AND M-THEORY, Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form, Rank of the Nijenhuis tensor on parallelizable almost complex manifolds, Towards understanding theoretical advantages of complex-reaction networks, Kodaira dimensions of almost complex manifolds, I, Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators, Kähler manifolds with curvature bounded below, Geometry of universal embedding spaces for almost complex manifolds, On the Teichmüller stack of compact quotients of \(\mathrm{SL}_2 (\mathbb{C})\), Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds, Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022, Complex curves in hypercomplex nilmanifolds with \(\mathbb{H}\)-solvable Lie algebras, Nijenhuis operators and associative D-bialgebras, The Newlander-Nirenberg theorem for principal bundles, On Kähler structures of Taub-Nut and kerr spaces, Generalized Sasakian structures from a Poisson geometry viewpoint, NORMAL FORMS FOR ALMOST COMPLEX STRUCTURES, Unnamed Item, Unnamed Item, Unnamed Item, Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold, Approximation of holomorphic mappings on strongly pseudoconvex domains, Strongly pseudoconvex homogeneous domains in almost complex manifolds, A nonstandard geometric quantization of the harmonic oscillator, Pseudo Cauchy Riemann and Framed Manifolds with Physical Applications, A counterexample to 𝐶^{𝑘}-regularity for the Newlander-Nirenberg theorem, Unnamed Item, The Automorphism Group of a Geometric Structure, Weyl metrisability of two-dimensional projective structures, Two Embedding Theorems, GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS, An algebraic model of transitive differential geometry, On geometric quantization and its connections with the Maslov theory, Complex structures on nilpotent Lie algebras, Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics, The Dolbeault complex in infinite dimensions I, Some recent developments in the theory of partial differential equations, Wick type deformation quantization of Fedosov manifolds, Local $\mathbf {L}^{1}$ estimates for elliptic systems of complex vector fields, Gray identities, canonical connection and integrability, Dolbeault cohomology of compact nilmanifolds, Métriques kählériennes et fibrés holomorphes, Extension formulas and deformation invariance of Hodge numbers, Note on Finslerian relativity, C-projective geometry, Differential geometry of quaternionic manifolds, Classification analytique de structures de Poisson, A Newlander–Nirenberg theorem for supermanifolds, Unnamed Item, On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems, Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections, Quantization of emergent gravity, The geometry of $G$-structures, The Nonabelian Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Approach, $\Gamma$-bundles and almost $\Gamma$-structures, COMPLEX STRUCTURES ON STRATIFIED LIE ALGEBRAS, S.-S. Chern’s study of almost-complex structures on the six-sphere, On the $\overline\partial$-equation in a Banach space, $G$-structures definied by tensor fields, The square of Nijenhuis tensor and its vanishing results