Hamiltonian constructions of Kähler-Einstein metrics and Kähler metrics of constant scalar curvature

DOI10.1007/BF02100027zbMath0792.53065OpenAlexW2066846541MaRDI QIDQ1174226

Henrik Pedersen, Yat Sun Poon

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02100027

zbMATH Keywords

Bergman metricCalabi metricholomorphic isometriesLeBrun Kähler metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (21)

Isometries, gaugings and \( \mathcal{N} =2\) supergravity decoupling ⋮ Central Kähler metrics with non-constant central curvature ⋮ On a class of compact and non-compact quasi-Einstein metrics and their renormalizability properties ⋮ Homogeneous contact manifolds and resolutions of Calabi-Yau cones ⋮ Ricci-flat metrics on vector bundles over flag manifolds ⋮ SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics ⋮ A quadric ansatz method for a certain class of second order PDEs ⋮ Rotationally symmetric pseudo-Kähler-Einstein metrics ⋮ Calabi-Yau metrics on canonical bundles of complex flag manifolds ⋮ Spaces of Riemannian metrics ⋮ ALE scalar-flat Kähler metrics on non-compact weighted projective spaces ⋮ Phase transition of Kähler-Einstein metrics via moment maps ⋮ Momentum construction on Ricci-flat Kähler cones ⋮ Rotationally symmetric pseudo-Kähler metrics of constant scalar curvatures ⋮ Spherically symmetric space–times with constant curvature scalar ⋮ Isometric embeddings of families of special Lagrangian submanifolds ⋮ On positivity in Sasaki geometry ⋮ Extremal Kähler metrics and Hamiltonian functions ⋮ The Sasaki join and admissible Kähler constructions ⋮ Examples of complete Kähler metrics with nonnegative holomorphic sectional curvature ⋮ The differential geometry of blow-ups

Cites Work

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• Anti-self-dual Hermitian metrics on blown-up Hopf surfaces
• Einstein metrics, spinning top motions and monopoles
• Counter-examples to the generalized positive action conjecture
• Kähler-Einstein metrics and integral invariants
• On some Euclidean Einstein metrics
• Scalar-flat Kähler metrics on blown-up ruled surfaces.
• Métriques kählériennes et fibrés holomorphes

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