Scalar curvature and uniruledness on projective manifolds

DOI10.4310/CAG.2012.v20.n4.a2zbMath1266.32033arXiv1206.2576MaRDI QIDQ1940480

Gordon Heier, Bun Wong

Publication date: 7 March 2013

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2576

zbMATH Keywords

Kähler metricstotal scalar curvatureuniruled manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15)

Related Items (10)

RC-positivity and scalar-flat metrics on ruled surfaces ⋮ Hermitian metrics of positive holomorphic sectional curvature on fibrations ⋮ On projective Kähler manifolds of partially positive curvature and rational connectedness ⋮ Ricci curvatures on Hermitian manifolds ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ Scalar curvature on compact complex manifolds ⋮ Curvature formulas related to a family of stable Higgs bundles ⋮ An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry ⋮ On some applications of Gauduchon metrics ⋮ Hirzebruch manifolds and positive holomorphic sectional curvature

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