An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II

zbMath1209.53032MaRDI QIDQ1012049

Toshiki Mabuchi

Publication date: 14 April 2009

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1235574041

zbMATH Keywords

polarized algebraic manifoldsemisimpleextremal Kähler metric

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Related Items (13)

Quantisation of extremal Kähler metrics ⋮ Asymptotic stability for Kähler-Ricci solitons ⋮ Asymptotics of polybalanced metrics under relative stability constraints ⋮ Minimizing weak solutions for Calabi's extremal metrics on toric manifolds ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Relative K-stability and modified K-energy on toric manifolds ⋮ Relative stability and extremal metrics ⋮ A splitting theorem for extremal Kähler metrics ⋮ Extremal Kähler metrics on projective bundles over a curve ⋮ Relative Chow stability and extremal metrics ⋮ An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I. ⋮ A moment map picture of relative balanced metrics on extremal Kähler manifolds ⋮ Relative stability associated to quantised extremal Kähler metrics

Cites Work

• Erratum: ``The Bando-Calabi-Futaki character as an obstruction to semistability
• On a set of polarized Kähler metrics on algebraic manifolds
• Global moduli for surfaces of general type
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• Stability of extremal Kähler manifolds
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I.
• Moment maps and symmetric multilinear forms associated with symplectic classes.
• An obstruction to asymptotic semistability and approximate critical metrics
• Geometric Invariant Theory
• UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS
• Scalar curvature, moment maps, and the Deligne pairing
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch
• Isométries et transformations analytiques d'une variété kählérienne compacte
• Varieties Defined by Quadratic Equations
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