Maxwell-Einstein metrics on completions of certain \(\mathrm{C}^\ast\) bundles

DOI10.1007/s10473-023-0120-9OpenAlexW4306685682MaRDI QIDQ2088167

Zhuang-Dan Guan

Publication date: 21 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0120-9

zbMATH Keywords

scalar curvaturefiber bundlealmost homogeneous manifoldsHermitian metricscomplex manifoldsMaxwell-Einstein metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Kähler-Einstein manifolds (32Q20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Holomorphic bundles and generalizations (32L05) (G)-structures (53C10) Almost homogeneous manifolds and spaces (32M12)

Related Items (2)

Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture) ⋮ Existence and non-existence of constant scalar curvature and extremal Sasaki metrics

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