Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces

DOI10.1007/s10455-016-9499-zzbMath1347.53057arXiv1511.06805OpenAlexW2963522107MaRDI QIDQ303657

Christina W. Tønnesen-Friedman, Caner Koca

Publication date: 22 August 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06805

zbMATH Keywords

ruled surfacesconformally Kähler metricsEinstein-Maxwell metrics

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein-Maxwell equations (83C22)

Related Items

Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group, The CR geometry of weighted extremal Kähler and Sasaki metrics, Rotationally symmetric conformal Kähler, Einstein-Maxwell metrics, Globally conformally Kähler Einstein metrics on certain holomorphic bundles, Volume minimization and conformally Kähler, Einstein-Maxwell geometry, Hermitian metrics of constant Chern scalar curvature on ruled surfaces, Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics, Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces, Uniform K-stability and conformally Kähler, Einstein-Maxwell geometry on toric manifolds, Einstein–Maxwell Equations on Four-dimensional Lie Algebras

Cites Work

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• The Einstein-Maxwell equations and conformally Kähler geometry
• Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures
• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Yamabe constants and the perturbed Seiberg-Witten equations
• The Einstein-Maxwell equations, Kähler metrics, and Hermitian geometry
• Conformally Kähler, Einstein-Maxwell geometry
• Hamiltonian 2-forms in Kähler geometry. I: General theory
• On ruled surfaces of genus 1
• The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory
• Vector Bundles Over an Elliptic Curve
• The Yamabe problem
• Remarks on extremal Kähler metrics on ruled manifolds
• Extremal Kähler metrics on minimal ruled surfaces
• Extremal Kähler metrics and Hamiltonian functions II
• A REMARK ON KÄHLER METRICS OF CONSTANT SCALAR CURVATURE ON RULED COMPLEX SURFACES
• Complex Fibre Bundles and Ruled Surfaces