On the Existence Problem of Einstein–Maxwell Kähler Metrics

DOI10.1007/978-3-030-34953-0_6zbMath1444.32023arXiv1803.06801OpenAlexW2790707101MaRDI QIDQ3300598

Akito Futaki, Hajime Ono

Publication date: 29 July 2020

Published in: Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06801

zbMATH Keywords

toric manifoldvolume minimization\(K\)-stabilityEinstein-Maxwell Kähler metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20)

Related Items (3)

Existence and non-existence of constant scalar curvature and extremal Sasaki metrics ⋮ Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces ⋮ Geometric nonlinear problems and GIT stability through moment maps

Cites Work

• The Einstein-Maxwell equations and conformally Kähler geometry
• On the existence and nonexistence of extremal metrics on toric Kähler surfaces
• Extremal \(K\)-contact metrics
• Invariant polynomials of the automorphism group of a compact complex manifold
• Kähler-Einstein metrics and integral invariants
• Volume minimization and conformally Kähler, Einstein-Maxwell geometry
• Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics
• Scalar curvature and stability of toric varieties.
• Moment maps and symmetric multilinear forms associated with symplectic classes.
• Volume minimization and obstructions to solving some problems in Kähler geometry
• Conformally Kähler, Einstein-Maxwell geometry
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS

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