Extremal Kähler metrics on minimal ruled surfaces

DOI10.1515/crll.1998.086zbMath0921.53033OpenAlexW1976234007MaRDI QIDQ4215761

Christina W. Tønnesen-Friedman

Publication date: 28 October 1998

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1998.086

zbMATH Keywords

extremal Kähler metricKähler classminimal ruled surfacepseudo-Hirzebruch surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Critical metrics (58E11)

Related Items (20)

Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces ⋮ Central Kähler metrics with non-constant central curvature ⋮ Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures ⋮ The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ A note on higher extremal metrics ⋮ Maximal tori in contactomorphism groups ⋮ Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections ⋮ Existence of higher extremal Kähler metrics on a minimal ruled surface ⋮ Existence and non-existence of constant scalar curvature and extremal Sasaki metrics ⋮ Coupled Kähler-Einstein and Hermitian-Yang-Mills equations ⋮ The energy of a Kähler class on admissible manifolds ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Rotationally symmetric extremal pseudo-Kähler metrics of non-constant scalar curvatures ⋮ Extremal Kähler metrics on projective bundles over a curve ⋮ A momentum construction for circle-invariant Kähler metrics ⋮ On positivity in Sasaki geometry ⋮ Extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces ⋮ Extremal Kähler metrics and energy functionals on projective bundles ⋮ Extremal Kähler metrics and Hamiltonian functions ⋮ The Sasaki join and admissible Kähler constructions

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