A global formulation of the Lie theory of transformation groups
From MaRDI portal
Publication:5567690
DOI10.1090/memo/0022zbMath0178.26502OpenAlexW1970659463MaRDI QIDQ5567690
Publication date: 1957
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0022
Related Items
A Hadamard-type open map theorem for submersions and applications to completeness results in control theory, Three-dimensional Lie group actions on compact (4\(n\)+3)-dimensional geometric manifolds, Locally homogeneous Riemannian manifolds and Cartan triples, On the construction of global coordinate systems in Euclidean spaces, Levy flows on manifolds and operator algebras, Conformal group actions and Segal's cosmology, Obstructions for twist star products, Geometric theory of differential systems: linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie-Petrov type \(VI_{1}\), Absolute contact differentiation on submanifolds of Cartan spaces, Stochastic parallel transport along Lévy flows of diffeomorphisms, Stochastic flows and Taylor series, Automorphisms of certain Stein manifolds, Group representations arising from Lorentz conformal geometry, Locally homogeneous pseudo-Riemannian manifolds, The groups of basic automorphisms of complete Cartan foliations, On two theorems about local automorphisms of geometric structures, Smooth \(Sp(2,\mathbf R)\)-actions on the 4-sphere, On the stability of leaves of Riemannian foliations, The prequantization representations of the Poisson Lie algebra, Automorphism groups of elliptic \(G\)-structures on orbifolds, On deformable minimal hypersurfaces in space forms, Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms, Differential geometry of \(\mathfrak{g}\)-manifolds, On the differentiability of maps into Lie transformation groups, Semicompleteness of homogeneous quadratic vector fields, On a monodromy theorem for sheaves of local fields and applications, Globally superintegrable Hamiltonian systems, On differential equations characterized by their Lie point symmetries, Recent development in the theory of connections and holonomy groups, Lie groups as quotient groups, Group actions on quantum bundles, On G-invariant distributions, Cohomology of horizontal forms, Symmetry groups and group invariant solutions of partial differential equations, Tangentially distal flows, A classification of taut, Stein surfaces with a proper \({\mathbb{R}}\)-action, On the geometry of almost \(\mathcal S\)-manifolds, Maxwell's equations in Segal's model: solutions and their invariance, 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\), Avoiding ergodicity and turbulence in \(R^3\) vector fields, On the geometry of curves and conformal geodesics in the Möbius space, Quasi-Kähler manifolds with trivial Chern holonomy, The automorphism group of a Banach principal bundle with \{1\}-structure, A geometric study on systems of first order differential equations, Attractors and an analog of the Lichnérowicz conjecture for conformal foliations, De Rham decomposition of affinely connected manifolds, On the discrete quotients of complex semi-groups, On the nullity distribution of a submanifold of a space form, Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds, A classification of locally homogeneous affine connections on compact surfaces, Homogeneous almost complex structures in dimension 6 with semi-simple isotropy, Vector fields, separatrices and Kato surfaces, Reduction of Hamiltonian systems with symmetry, Topology of automorphism groups of parabolic geometries, Cascade linearization of invariant control systems, Global smooth geodesic foliations of the hyperbolic space, Normal holonomy of orbits and Veronese submanifolds, Homomorphisms and controllability of parallel composite systems, Quadratic differential equations in three variables without multivalued solutions. I, Regularization of local CR-automorphisms of real-analytic CR-manifolds, A characterization of bounded symmetric domains of type IV, Cartan projective connection spaces and group-theoretic analysis of systems of second-order ordinary differential equations, Examples of manifolds which are homogeneous spaces of Lie groups of arbitrarily large dimension, On the holomorphic structure of \(G\)-orbits in compact Hermitian symmetric spaces, Controllability in nonlinear systems, Über die Automorphismengruppen von Banach-Mannigfaltigkeiten mit invarianter Metrik, On quaternionic contact Fefferman spaces, On some spaces which are covered by a product space, Superposition rules and stochastic Lie-Scheffers systems, The Painlevé property for quasihomogeneous systems and a many-body problem in the plane, Focal sets, taut embeddings and the cyclides of Dupin, Towards a Lie theory of locally convex groups, Classification of Levi degenerate homogeneous CR-manifolds in dimension 5, Geometrische Bedingungen für die Integrabilität von Vektorfeldern auf Teilmengen des \(\mathbb{R}^n\), On a generalization of the Hopf fibration. I, On the Gauss-Bonnet formula on odd-dimensional manifolds, On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature, Transversely homogeneous foliations, Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds, Transverse equivalence of complete conformal foliations, Affine submersions, Almost isometric singular foliations, New result on (f,g)-invariance, Remarks on the foundations of integral geometry, On automorphism groups of some types of generic distributions, Hamilton equations for elasticae in the Euclidean 3-space, Solvable Lie algebras of vector fields and a Lie's conjecture, Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions, Recognizing G-induced flows, All local classical symmetries in Hamiltonian mechanics, Matter fields and metric deformations in multidimensional unified theories, Automorphism groups of second order differential equations, The canonical foliation of a compact generalized Hopf manifold, Real analytic SL(n,\({\mathbb{R}})\) actions on spheres, A general description of totally geodesic foliations, Global state and feedback equivalence of nonlinear systems, Transverse group actions on bundles, On integral manifolds for vector space distributions, The canonical foliations of a locally conformal Kähler manifold, Completeness of compact Lorentzian manifolds with abelian holonomy, A note on the automorphism group of an almost complex structure of type $\left( {n,n'} \right)$, Commuting vectorfields on open manifolds, Vector fields on manifolds, On some properties of curvatures of foliated Riemannian structures, Sur le théorème de Frobenius, General nilpotent and solvable approximations of almost-Riemannian structures, Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras, Classification results for expanding and shrinking gradient Kähler-Ricci solitons, Decomposition theorems of Riemannian manifolds, Tubular neighbourhoods for submersions of topological manifolds, Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups, Geometry-preserving numerical methods for physical systems with finite-dimensional Lie algebras, Dynamical Systems with an Invariant Space of Vector Fields, Locally conformal Kähler structures in quaternionic geometry, Unnamed Item, Parallel focal structure and singular Riemannian foliations, Sur le prolongement des groupes locaux d'homéomorphismes sur un espace localement compact, Unnamed Item, Symplectic Homogeneous Spaces, Foliations with complex leaves, Kinematical constraints and algebroids, Unnamed Item, Unnamed Item, Submersions with \(p\)-connected fibers, Reflexion spaces and homogeneous symmetric spaces, Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra, Submersions with \(p\)-connected fibers, Structure of graphs of suspended foliations, The relation between systems and associated bundles, Unnamed Item, Integrability of Jacobi and Poisson structures, Multisymplectic structures and invariant tensors for Lie systems, Reduction and reconstruction of multisymplectic Lie systems, Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure, Unnamed Item, Jacobi structures on affine bundles, On fiberings of some non-compact contact manifolds, Partially conformal transformations with respect to \((m-1)\)-dimensional distributions of \(m\)-dimensional Riemannian manifolds, Sur une variété munie d'une structure de contact admettant certaines transformations, A compactness theorem for locally homogeneous spaces, Property FW and 1-dimensional piecewise groups, Finsler functions consistent with absolute parallelisms, Fixed points of Lie group actions on surfaces, Minimal hypersurfaces in $ {\mathbb{S}}^5$ with vanishing Gauss–Kronecker curvature, A group-theoretic characterization of the Fock-Bargmann-Hartogs domains, On Lie algebra actions, Homogeneous contact manifolds and resolutions of Calabi-Yau cones, REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS, Integrable almost cotangent structures and Legendrian bundles, Killing submersions and magnetic curves, Discrete structures in continuum descriptions of defective crystals, A note on equivalence classes of \(SO_0(p,q)\)-actions on \(S^{p+q-1}\) whose restricted \(SO(p)\times SO(q)\)-action is the standard action, Sufficient Conditions for a Bundle-Like Foliation to Admit a Riemannian Submersion onto its Leaf Space, A rigidity phenomenon for germs of actions of \(\mathbb{R}^2\), Unnamed Item, Unnamed Item, Poisson–Hopf algebra deformations of Lie–Hamilton systems, Cohomological localization for transverse Lie algebra actions on Riemannian foliations, On quotients of manifolds: A generalization of the closed subgroup theorem, Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces, \( \eta \)-Einstein Sasakian immersions in non-compact Sasakian space forms, On the local univalence of nondegenerate holomorphic vector fields, Tangent bundle geometry from dynamics: Application to the Kepler problem, Nonregular contact structures on Brieskorn manifolds, Almost tangent structures, A local version of the Myers–Steenrod theorem, Unnamed Item, Fixed points of local actions of nilpotent Lie groups on surfaces, Influence of stratification on the groups of conformal transformations of pseudo-Riemannian orbifolds, A Kinematics of Defects in Solid Crystals, On Lie systems and Kummer-Schwarz equations, The classifying Lie algebroid of a geometric structure I: Classes of coframes, On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions, Lifting general relativity to observer space, The Automorphism Group of a Geometric Structure, Integration of locally exponential Lie algebras of vector fields, Unnamed Item, \(k\)-symplectic Lie systems: theory and applications, Synthesis of nonlinear observers: A harmonic-analysis approach, Ergodicity of Lévy flows, COMPLEXIFICATIONS OF HOLOMORPHIC ACTIONS AND THE BERGMAN METRIC, Geometrical structure of two-dimensional crystals with non-constant dislocation density, Some results in E. Cartan's theory of isoparametric families of hypersurfaces, Completing Lie algebra actions to Lie group actions, Affine transformations and parallel lightlike vector fields on compact Lorentzian 3-manifolds, Symmetries and geometry in general relativity, A geometric approach to feedback stabilization of nonlinear systems with drift, Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions, Equivalence of control systems with linear systems on Lie groups and homogeneous spaces, On Ricci curvature of metric structures on \(\mathfrak{g}\)-manifolds, Torus actions on weakly pseudoconvex spaces, An intrinsic characterization of the unit polydisc, Unnamed Item, Maximale eindeutige Lösungen (Riemannsche Flächen) für Cauchysche Anfangswertaufgaben bei partiellen Differentialgleichungssystemen erster Ordnung für eine gesuchte Funktion auf \(C^ \infty\)-Mannigfaltigkeiten. I--III, E. Cartan's geometrie theory of partial differential equations, Spiegelungsräume und homogene symmetrische Räume, A theorem on regular vector fields and its applications to almost contact structures, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Du prolongement des espaces fibrés et des structures infinitésimales, Reflexion spaces of minimal and maximal torsion, On regular foliations, Some notes on the group of automorphisms of contact and symplectic structures, Extending regular foliants, Über Automorphismengruppen lokal-kompakter Gruppen und Derivationen von Lie-Gruppen, On singularities of submanifolds of higher dimensional Euclidean spaces, Sur les groupes de difféomorphismes des variétés différentiables, Instantons on hyperkähler manifolds, \(\varphi\)-holomorphic special bisectional curvature, On the homology structure of submersions, A classification theory for quantizable dynamical systems, Fourier integral operators. II, Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibration, A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality, Meromorphic vector fields with single-valued solutions on complex surfaces, Lie Sphere Transformations and the Focal Sets of Certain Taut Immersions, Connection and curvature in crystals with non-constant dislocation density, On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications, Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds, Complete minimal hypersurfaces in the hyperbolic space ℍ⁴ with vanishing Gauss-Kronecker curvature, On fiberings of almost contact manifolds, Symmetry Reduction, Contact Geometry, and Partial Feedback Linearization, Unnamed Item, On the automorphism groups of $f$-manifolds, Bäcklund transformations for Darboux integrable differential systems, Relevant Differential Topology in Statistical Manifolds, Some remarks on Calabi-Yau and hyper-Kähler foliations, Differential Geometric Structures on Principal Toroidal Bundles