Stability of extremal Kähler manifolds
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Publication:1763039
zbMath1076.32017arXivmath/0404211MaRDI QIDQ1763039
Publication date: 18 February 2005
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404211
Geometric invariant theory (14L24) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Critical metrics (58E11)
Related Items (24)
Canonical metrics on generalized Hartogs triangles ⋮ Note on Poincaré type Futaki characters ⋮ Quantisation of extremal Kähler metrics ⋮ Relative algebro-geometric stabilities of toric manifolds ⋮ Relative Chow stability and optimal weights ⋮ Asymptotics of polybalanced metrics under relative stability constraints ⋮ The Calabi flow on Kähler surfaces with bounded Sobolev constant. I ⋮ On the transverse scalar curvature of a compact Sasaki manifold ⋮ Relative stability and extremal metrics ⋮ Extremal metrics on blowups ⋮ A splitting theorem for extremal Kähler metrics ⋮ Relative K-stability of extremal metrics ⋮ Relative Chow stability and extremal metrics ⋮ An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I. ⋮ Uniqueness of extremal Kähler metrics ⋮ On conformally Kähler, Einstein manifolds ⋮ A moment map picture of relative balanced metrics on extremal Kähler manifolds ⋮ An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II ⋮ The Yau-Tian-Donaldson Conjecture for General Polarizations, I ⋮ K-stability of constant scalar curvature Kähler manifolds ⋮ Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants ⋮ Relative stability associated to quantised extremal Kähler metrics ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains ⋮ K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
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