Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds

zbMath1346.32007arXiv1302.6979MaRDI QIDQ2788602

David M. J. Calderbank, Paul Gauduchon, Vestislav Apostolov

Publication date: 19 February 2016

Full work available at URL: https://arxiv.org/abs/1302.6979

zbMATH Keywords

toric geometryextremal Kähler metricEinstein 4-orbifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15)

Related Items (14)

Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group ⋮ Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures ⋮ Extremal Kähler Poincaré type metrics on toric varieties ⋮ The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ Rotationally symmetric conformal Kähler, Einstein-Maxwell metrics ⋮ A Note on Extremal Toric Almost Kähler Metrics ⋮ Branes wrapped on orbifolds and their gravitational blocks ⋮ Equivariant localization and holography ⋮ Globally conformally Kähler Einstein metrics on certain holomorphic bundles ⋮ The eta invariant in the doubly Kählerian conformally compact Einstein case ⋮ Volume minimization and conformally Kähler, Einstein-Maxwell geometry ⋮ Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces ⋮ ALE scalar-flat Kähler metrics on non-compact weighted projective spaces ⋮ Enhanced Euclidean supersymmetry, 11D supergravity and \(\mathrm{SU}(\infty)\) Toda equation

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