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- W4250696307 abstract "This paper studies the basic properties of the non-positive or non-negative first and second $k$-Ricci curvatures.Firstly, we obtain the inequality for the Ricci curvature and the holomorphic sectional curvature. Secondly, we give vanishing theorems on compact Hermitian manifolds with positive first or second $k$-Ricci curvature.In particular, we prove that if a compact Kähler manifold has a Hermitian metric with a positive second $k$-Ricci curvature ($kgeq2$), then it must be a projective manifold." @default.
- W4250696307 created "2022-05-12" @default.
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- W4250696307 date "2022-01-27" @default.
- W4250696307 modified "2023-10-14" @default.
- W4250696307 title "On first and second bm$k$-Ricci curvatures for Hermitian manifold" @default.
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- W4250696307 doi "https://doi.org/10.1360/ssm-2021-0034" @default.
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