The Einstein-Maxwell equations and conformally Kähler geometry

DOI10.1007/s00220-015-2568-5zbMath1343.53074arXiv1504.06669OpenAlexW3104233282MaRDI QIDQ291964

Claude LeBrun

Publication date: 10 June 2016

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

Full work available at URL: https://arxiv.org/abs/1504.06669

zbMATH Keywords

Einstein-Maxwell equationsKähler metricHirzebruch surfacePage's Einstein metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Einstein-Maxwell equations (83C22)

Related Items (16)

Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces ⋮ Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group ⋮ The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ Twisted and singular gravitating vortices ⋮ Rotationally symmetric conformal Kähler, Einstein-Maxwell metrics ⋮ Globally conformally Kähler Einstein metrics on certain holomorphic bundles ⋮ Volume minimization and conformally Kähler, Einstein-Maxwell geometry ⋮ Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics ⋮ Metrics of Eguchi-Hanson types with the negative constant scalar curvature ⋮ Metrics of Horowitz–Myers type with the negative constant scalar curvature ⋮ Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces ⋮ On the Existence Problem of Einstein–Maxwell Kähler Metrics ⋮ Geometric nonlinear problems and GIT stability through moment maps ⋮ Uniform K-stability and conformally Kähler, Einstein-Maxwell geometry on toric manifolds ⋮ Einstein–Maxwell Equations on Four-dimensional Lie Algebras ⋮ Maxwell-Einstein metrics on completions of certain \(\mathrm{C}^\ast\) bundles

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