A {𝐾}-energy characterization of extremal Kähler metrics

DOI10.1090/S0002-9939-99-05364-2zbMath0951.58019MaRDI QIDQ4942930

Santiago R. Simanca

Publication date: 15 March 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldcritical pointsextremal metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11)

Related Items (12)

Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics ⋮ Unnamed Item ⋮ Geometric pluripotential theory on Sasaki manifolds ⋮ Deformation of extremal metrics, complex manifolds and the relative Futaki invariant ⋮ Lower bounds on the modified \(K\)-energy and complex deformations ⋮ The energy of a Kähler class on admissible manifolds ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Vector Field Energies and Critical Metrics on Kähler Manifolds ⋮ Relative K-stability and modified K-energy on toric manifolds ⋮ Extremal Kähler metrics and energy functionals on projective bundles ⋮ On Calabi’s extremal metric and properness ⋮ Hilbert-Perelman’s functional and Lagrange multipliers

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