An obstruction to the existence of Einstein Kaehler metrics
From MaRDI portal
Publication:1836887
DOI10.1007/BF01388438zbMath0506.53030OpenAlexW2021499246MaRDI QIDQ1836887
Publication date: 1983
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143056
Related Items
Classification of Einstein-Kähler toric Fano fourfolds, RC-positivity and scalar-flat metrics on ruled surfaces, Kähler--Ricci solitons on toric manifolds with positive first Chern class, Kähler-Einstein metrics and volume minimization, K-energy maps integrating Futaki invariants, Toric Sasaki-Einstein metrics with conical singularities, On the existence of Kähler metrics of constant scalar curvature, Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group, Existence of Einstein Metrics on Fano Manifolds, Minimizing normalized volumes of valuations, Residue formula for Morita-Futaki-Bott invariant on orbifolds, Some results on strong Randers metrics, On deformations of Fano manifolds, Monge-Ampère equations of geometric origin on certain algebraic varieties, Geometric pluripotential theory on Sasaki manifolds, New examples of Sasaki-Einstein manifolds, Coupled equations for Kähler metrics and Yang-Mills connections, Energy functionals and canonical Kähler metrics, Gravitating vortices and the Einstein-Bogomol'nyi equations, Hilbert series and obstructions to asymptotic semistability, Slope instability of projective spaces blown up along a line, K-stability and parabolic stability, Examples of K-unstable Fano manifolds, Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds, Conical Kähler-Einstein metrics revisited, Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor, Contact structures of Sasaki type and their associated moduli, Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics, Extremal \(K\)-contact metrics, On localizing Futaki-Morita integrals at isolated degenerate zeros, Eigenvalues of vector fields, Bott's residue formula and integral invariants, Curvature of the completion of the space of Sasaki potentials, Modified Futaki invariant and equivariant Riemann-Roch formula, On the existence and nonexistence of extremal metrics on toric Kähler surfaces, On the K-stability of complete intersections in polarized manifolds, Greatest lower bounds on Ricci curvature for toric Fano manifolds, Coupled Kähler-Einstein and Hermitian-Yang-Mills equations, Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface, A generalization of the Ross-Thomas slope theory, Variational stability of Kähler-Ricci solitons, Tian's invariant of the Grassmann manifold, Openness of uniformly valuative stability on the Kähler cone of projective manifolds, Valuative stability of polarised varieties, Kähler-Einstein metrics on symmetric Fano \(T\)-varieties, Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry, Volume minimization and conformally Kähler, Einstein-Maxwell geometry, Lower bounds of Tian's invariant under toric invariances, Lower bounds on the modified \(K\)-energy and complex deformations, Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics, Computing \(\alpha\)-invariants of singular del Pezzo surfaces, On generalized Kähler-Ricci solitons, On the Futaki invariants of complete intersections, On the transverse scalar curvature of a compact Sasaki manifold, Vector Field Energies and Critical Metrics on Kähler Manifolds, Modified Kähler-Ricci flow on projective bundles, Stability of valuations: higher rational rank, Geometric quantization of coupled Kähler-Einstein metrics, K-stability of Fano varieties: an algebro-geometric approach, Obstructions to the existence of Sasaki-Einstein metrics, Kähler-Einstein metrics: old and new, The partial \(C^0\)-estimate along a general continuity path and applications, Einstein-Kähler toric Fano fourfolds, Special test configuration and \(K\)-stability of Fano varieties, On the vanishing of the holomorphic invariants for Kähler-Ricci solitons, The Kähler Ricci flow on Fano manifolds. I, Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds, The generalized Kähler Ricci flow, Ricci flow on Kähler-Einstein manifolds, An example of an asymptotically Chow unstable manifold with constant scalar curvature, Generalising \(G_2\) geometry: involutivity, moment maps and moduli, Kähler uniformization from holographic renormalization group flows of M5-branes, Coupled Kähler-Ricci solitons on toric Fano manifolds, Coupled Sasaki-Ricci solitons, Tian invariant on generalized Calabi manifold, Residue formula for an obstruction to coupled Kähler-Einstein metrics, A moment map picture of relative balanced metrics on extremal Kähler manifolds, A polar dual to the momentum of toric Fano manifolds, Futaki Invariant and CM Polarization, Stable maps in higher dimensions, The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics, Uniform K-stability and conformally Kähler, Einstein-Maxwell geometry on toric manifolds, Hilbert-Perelman’s functional and Lagrange multipliers, Einstein-Kähler metrics on certain complex bundles, The moduli space of Fano manifolds with Kähler-Ricci solitons, Perelman’s entropy and Kähler-Ricci flow on a Fano manifold, On compact Kähler manifolds of constant scalar curvatures, Kähler-Einstein metrics on Fano manifolds, Del Pezzo Zoo, The Kähler–Ricci Flow on Fano Manifolds, Bando-Calabi-Futaki character of compact toric manifolds, Blowing up extremal Kähler manifolds. II, Einstein-Kähler metrics on a class of bundles involving integral weights., Some invariant and equivariant cohomology classes of the space of Kähler metrics, Toric Kähler-Einstein metrics and convex compact polytopes, Invariant polynomials on compact complex manifolds, Gap theorems for Ricci-harmonic solitons, Invariants of varieties and singularities inspired by Kähler-Einstein problems, A functional integrating Futaki's invariant, The soliton-Ricci flow with variable volume forms, On some integral invariants on complex manifolds. I, Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics, Central Kähler metrics, METRIC PAIRS AND THE FUTAKI CHARACTER, Morse theory and geodesics in the space of Kähler metrics, A note on higher extremal metrics, On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations, Canonical metrics on holomorphic Courant algebroids, Degenerations of negative Kähler–Einstein surfaces, Kähler-Ricci flow on Fano manifolds, Mabuchi's soliton metric and relative D-stability, Existence of higher extremal Kähler metrics on a minimal ruled surface, A Note on Extremal Toric Almost Kähler Metrics, Anticanonically balanced metrics and the Hilbert-Mumford criterion for the \(\delta_m\)-invariant of Fujita-Odaka, Uniform estimates for cscK metrics, Weighted K-stability for a class of non-compact toric fibrations, EQUIVARIANT COHOMOLOGY AND HOLOMORPHIC INVARIANT, Delta-invariants for Fano varieties with large automorphism groups, From Riemann and Kodaira to modern developments on complex manifolds, Kähler-Einstein metrics, Conformal invariants associated to a measure, Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds, Tian’s Properness Conjectures:An Introduction to Kähler Geometry, Pluriclosed Flow and the Geometrization of Complex Surfaces, Kähler–Einstein Metrics on Toric Manifolds and G-manifolds, Kähler-Ricci flow on stable Fano manifolds, Bando-Futaki invariants on hypersurfaces, A conformal integral invariant on Riemannian foliations, On the limit behavior of metrics in the continuity method for the Kähler–Einstein problem on a toric Fano manifold, ASYMPTOTIC CHOW SEMI-STABILITY AND INTEGRAL INVARIANTS, Kähler-Ricci solitons on homogeneous toric bundles, THE SASAKI–RICCI FLOW, REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS, An obstruction to semistability of manifolds., Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds, Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\)., The lifted Futaki invariants for Riemann surfaces, Rigid subsets of symplectic manifolds, Fano threefolds with infinite automorphism groups, On Calabi’s extremal metric and properness, Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof, Remarks on logarithmic K-stability, Localizing the Donaldson–Futaki invariant, Extremal metrics and K-stability, K‐Stability and Kähler‐Einstein Metrics, On the examples of Nill and Paffenholz, Convergence of Kähler-Ricci flow, Deformed Hermitian Yang–Mills connections, extended gauge group and scalar curvature
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogeneous vector bundles
- Examples of projective manifolds not admitting Kähler metric with constant scalar curvature
- On non-singular hyperplane sections of some Hermitian symmetric spaces
- On the curvature of compact Hermitian manifolds
- On complex projective bundles over a Kähler C-space
- Curvature functions for compact 2-manifolds
- Sur les variétés analytiques complexes
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
