Extremal Kähler metrics and Hamiltonian functions

DOI10.1016/S0393-0440(98)00069-2zbMath0940.58008OpenAlexW2015970665MaRDI QIDQ1305342

Thierry Chave, Galliano Valent, Henrik Pedersen, Christina W. Tønnesen-Friedman

Publication date: 17 July 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00069-2

zbMATH Keywords

Einstein metricHamiltonian functionextremal Kähler 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 (2)

Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures ⋮ Rotationally symmetric extremal pseudo-Kähler metrics of non-constant scalar curvatures

Cites Work

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• On existence of Kähler metrics with constant scalar curvature
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
• Scalar-flat Kähler metrics on blown-up ruled surfaces.
• Extremal Kähler metrics on minimal ruled surfaces
• Compact extremal versus compact Einstein metrics

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