EXISTENCE OF EXTREMAL METRICS ON ALMOST HOMOGENEOUS MANIFOLDS OF COHOMOGENEITY ONE — III

DOI10.1142/S0129167X03001806zbMath1048.32014OpenAlexW2102871301MaRDI QIDQ4474418

Zhuang-Dan Guan

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x03001806

zbMATH Keywords

stabilityhomogeneous manifoldsextremal metricsKähler Einstein metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Compact Kähler manifolds: generalizations, classification (32J27) Almost homogeneous manifolds and spaces (32M12)

Related Items

Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections ⋮ Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture) ⋮ Moser vector fields and geometry of the Mabuchi moduli space of Kähler metrics ⋮ Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. IV ⋮ Type II compact almost homogeneous manifolds of cohomogeneity one-II ⋮ Type I almost-homogeneous manifolds of cohomogeneity one. IV ⋮ Affine compact almost-homogeneous manifolds of cohomogeneity one ⋮ Maxwell-Einstein metrics on completions of certain \(\mathrm{C}^\ast\) bundles ⋮ Killing fields generated by multiple solutions to the Fischer–Marsden equation

Cites Work

• Unnamed Item
• Equivariant completions of homogeneous algebraic varieties by homogeneous divisors
• K-energy maps integrating Futaki invariants
• Infinite determinants, stable bundles and curvature
• Weak positivity and the stability of certain Hilbert points. III
• Kähler-Einstein metrics and the generalized Futaki invariant
• Kähler-Einstein metrics of cohomogeneity one
• Kähler-Einstein metrics with positive scalar curvature
• On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
• Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. II
• The space of Kähler metrics.
• Examples of compact holomorphic symplectic manifolds which are not Kählerian. II
• Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
• STABILITY OF HERMITIAN VECTOR BUNDLES—A QUANTITATIVE POINT OF VIEW
• ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
• Complex Monge-Ampere and Symplectic Manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Functional Analysis
• QUASI-EINSTEIN METRICS
• Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one
• Geometric criterion for Gieseker-Mumford stability of polarized manifolds

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