Scalar curvature on compact complex manifolds

DOI10.1090/tran/7409zbMath1430.53079arXiv1705.02672OpenAlexW2964057137MaRDI QIDQ4644960

Xiao Kui Yang

Publication date: 9 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02672

zbMATH Keywords

scalar curvatureGauduchon conjectureHermitian metric with positivepositive total scalar curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Kähler-Einstein manifolds (32Q20)

Related Items (12)

RC-positivity and scalar-flat metrics on ruled surfaces ⋮ The prescribed Chern scalar curvature problem ⋮ On the linearization stability of the Chern-scalar curvature ⋮ Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus ⋮ Real semisimple Lie groups and balanced metrics ⋮ On the Gauduchon curvature of Hermitian manifolds ⋮ Remarks on Chern-Einstein Hermitian metrics ⋮ Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection ⋮ RC-positive metrics on rationally connected manifolds ⋮ On some applications of Gauduchon metrics ⋮ Levi-Civita Ricci-flat metrics on compact complex manifolds ⋮ Scalar curvatures in almost Hermitian geometry and some applications

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