A splitting theorem for extremal Kähler metrics

DOI10.1007/s12220-013-9417-6zbMath1320.53087arXiv1212.3665OpenAlexW2006191598MaRDI QIDQ2256825

Hongnian Huang, Vestislav Apostolov

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3665

zbMATH Keywords

Kähler geometryextremal metricsChow stability

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (6)

Quantisation of extremal Kähler metrics ⋮ Reducibility in Sasakian geometry ⋮ Relative Chow stability and optimal weights ⋮ Relative Chow stability and extremal metrics ⋮ A moment map picture of relative balanced metrics on extremal Kähler manifolds ⋮ Relative stability associated to quantised extremal Kähler metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative K-stability of extremal metrics
• Asymptotics of polybalanced metrics under relative stability constraints
• An example of an asymptotically Chow unstable manifold with constant scalar curvature
• On a set of polarized Kähler metrics on algebraic manifolds
• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II
• K-stability of constant scalar curvature Kähler manifolds
• Geometry of Kähler metrics and foliations by holomorphic discs
• On automorphism groups of compact Kähler manifolds
• Canonical coordinates and Bergmann metrics
• Extremal Kähler metrics and complex deformation theory
• Upper bound for the first eigenvalue of algebraic submanifolds
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• Stability of extremal Kähler manifolds
• Moment map, Futaki invariant and stability of projective manifolds
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I.
• Scalar curvature and stability of toric varieties.
• A splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces
• The Calabi flow with small inital energy
• Lower bounds on the Calabi functional
• Stability of Calabi flow near an extremal metric
• Extremal metrics and K-stability
• On the Calabi flow
• Scalar curvature and projective embeddings, II
• First Chern class and holomorphic tensor fields
• Fibrés hermitiens à endomorphisme de Ricci non négatif
• ASYMPTOTIC CHOW SEMI-STABILITY AND INTEGRAL INVARIANTS
• UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS
• Scalar curvature, moment maps, and the Deligne pairing
• Geometric criterion for Gieseker-Mumford stability of polarized manifolds

This page was built for publication: A splitting theorem for extremal Kähler metrics