scientific article; zbMATH DE number 1502623

Publication date: 5 September 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

scalar curvature Kähler-Einstein metric constant curvature moment map Kähler metric Chern numbers group of symplectomorphisms Calabi-Yau theorem Calabi-Futaki invariant

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20) Critical metrics (58E11) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (only showing first 100 items - show all)

Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics ⋮ Existence of Einstein Metrics on Fano Manifolds ⋮ Geodesic rays and stability in the lowercase cscK problem ⋮ Ricci iterations on Kähler classes ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ On the fundamental group of compact Kähler orbifolds with nef anti-canonical bundle ⋮ Geodesics in the space of relatively Kähler metrics ⋮ Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics ⋮ Hermitian Calabi functional in complexified orbits ⋮ Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps ⋮ Existence of higher extremal Kähler metrics on a minimal ruled surface ⋮ A Partial Comparison of Stability Notions in Kähler Geometry ⋮ Calabi-Yau metrics with conical singularities along line arrangements ⋮ Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale ⋮ Kähler-Einstein metrics ⋮ On holomorphic mappings between almost Hermitian manifolds ⋮ Tian’s Properness Conjectures:An Introduction to Kähler Geometry ⋮ The Kähler–Ricci Flow on CP2 ⋮ A variational approach to the Yau–Tian–Donaldson conjecture ⋮ Deformations of nodal Kähler-Einstein Del Pezzo surfaces with discrete automorphism groups ⋮ On the critical points of the 𝐸_{𝑘} functionals in Kähler geometry ⋮ On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy ⋮ The partial 𝐶⁰-estimate along the continuity method ⋮ Kähler-Einstein metrics with edge singularities ⋮ Geometric pluripotential theory on Kähler manifolds ⋮ Singular Kähler-Einstein metrics ⋮ Uniqueness of optimal symplectic connections ⋮ Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations ⋮ A remark on constant scalar curvature Kähler metrics on minimal models ⋮ Interior regularity for the generalized Abreu equation ⋮ On Calabi’s extremal metric and properness ⋮ The Complex Monge–Ampère Equation in Kähler Geometry ⋮ Solution to a non-Archimedean Monge-Ampère equation ⋮ Localizing the Donaldson–Futaki invariant ⋮ An application of a C2-estimate for a complex Monge–Ampère equation ⋮ Stability and integration over Bergman metrics ⋮ Spectral convergence under bounded Ricci curvature ⋮ Relative K-stability for Kähler manifolds ⋮ Stability and convergence of the Sasaki-Ricci flow ⋮ Positive convex solutions of boundary value problems arising from Monge-Ampère equations ⋮ Twisted and conical Kähler-Ricci solitons on Fano manifolds ⋮ Remarks on Kähler Ricci flow ⋮ Complex Monge-Ampère equations and totally real submanifolds ⋮ Canonical Kähler metrics and arithmetics: generalizing Faltings heights ⋮ Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds ⋮ A variational approach to complex Monge-Ampère equations ⋮ Poincaré inequalities and moment maps ⋮ Regularizing properties of the twisted Kähler-Ricci flow ⋮ On the extension and smoothing of the Calabi flow on complex tori ⋮ Coupled equations for Kähler metrics and Yang-Mills connections ⋮ Kähler metrics on the projective bundle of a holomorphic Finsler vector bundle ⋮ Projectively induced rotation invariant Kähler metrics ⋮ Prescribed scalar curvatures for homogeneous toric bundles ⋮ K-stability of cubic fourfolds ⋮ Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups ⋮ Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties ⋮ A viscosity approach to degenerate complex Monge-Ampère equations ⋮ Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds ⋮ \(I\)-properness of Mabuchi's \(K\)-energy ⋮ The Dirichlet and the weighted metrics for the space of Kähler metrics ⋮ Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties ⋮ An integral inequality for constant scalar curvature metrics on Kähler manifolds ⋮ Hermitian curvature flow ⋮ About the Calabi problem: a finite-dimensional approach ⋮ Degenerate J-flow on compact Kähler manifolds ⋮ Valuative stability of polarised varieties ⋮ A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics ⋮ K-semistability of cscK manifolds with transcendental cohomology class ⋮ Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities ⋮ On gravity dual of a metastable vacuum in Klebanov-Strassler theory ⋮ IIB black hole horizons with five-form flux and KT geometry ⋮ Interior estimates for the \(n\)-dimensional Abreu's equation ⋮ Determinantal point processes and fermions on complex manifolds: large deviations and bosonization ⋮ Long time existence of minimizing movement solutions of Calabi flow ⋮ Deformations of extremal toric manifolds ⋮ Uniform K-stability for extremal metrics on toric varieties ⋮ Some discretizations of geometric evolution equations and the Ricci iteration on the space of Kähler metrics ⋮ Some comparison theorems for Kähler manifolds ⋮ The weighted Monge-Ampère energy of quasiplurisubharmonic functions ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ Kähler-Einstein metrics emerging from free fermions and statistical mechanics ⋮ On uniform estimate in Calabi-Yau theorem ⋮ Optimal destabilizing centers and equivariant K-stability ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ Stability of measures on Kähler manifolds ⋮ Relative K-stability and modified K-energy on toric manifolds ⋮ Kähler-Einstein metrics: old and new ⋮ The partial \(C^0\)-estimate along a general continuity path and applications ⋮ The \(C^{2,\alpha }\)-estimate for conical Kähler-Ricci flow ⋮ Conic Kähler-Einstein metrics along simple normal crossing divisors on Fano manifolds ⋮ Slope stability and exceptional divisors of high genus ⋮ On the vanishing of the holomorphic invariants for Kähler-Ricci solitons ⋮ Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces ⋮ Kähler non-collapsing, eigenvalues and the Calabi flow ⋮ Regularity of Kähler-Ricci flows on Fano manifolds ⋮ A criterion for the properness of the \(K\)-energy in a general Kähler class ⋮ On the lower bound of the \(K\)-energy and \(F\)-functional ⋮ Domains of definition of Monge-Ampère operators on compact Kähler manifolds ⋮ Multiplier ideal sheaves and integral invariants on toric Fano manifolds ⋮ Optimal lower bounds for Donaldson's J-functional

This page was built for publication: