Kähler-Sasaki geometry of toric symplectic cones in action-angle coordinates

DOI10.4171/PM/1862zbMath1193.53109arXiv0912.0492MaRDI QIDQ973678

Miguel Abreu

Publication date: 2 June 2010

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0492

zbMATH Keywords

action-angle coordinatesKählersymplectic potentialsSasaki and Einstein metricstoric symplectic cones

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Momentum maps; symplectic reduction (53D20) Kähler-Einstein manifolds (32Q20)

Related Items (10)

Toric Sasaki-Einstein metrics with conical singularities ⋮ Toric Vaisman manifolds ⋮ Toric generalized Kähler-Ricci solitons with Hamiltonian 2-form ⋮ The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ Analytic classification of toric Kähler instanton metrics in dimension 4 ⋮ Branes wrapped on orbifolds and their gravitational blocks ⋮ Equivariant localization and holography ⋮ Locally conformally symplectic convexity ⋮ Existence and non-uniqueness of constant scalar curvature toric Sasaki metrics ⋮ Contact homology of good toric contact manifolds

Cites Work

• On contact manifolds
• Kähler metrics on toric orbifolds.
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• A note on toric contact geometry
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