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- W3103176944 abstract "In this paper we establish partial structure results on the geometry of compact Hermitian manifolds of semipositive Griffiths curvature. We show that after appropriate arbitrary small deformation of the initial metric, the null spaces of the Chern-Ricci two-form generate a holomorphic, integrable distribution. This distribution induces an isometric, holomorphic, almost free action of a complex Lie group on the universal cover of the manifold. Our proof combines the strong maximum principle for the Hermitian Curvature Flow (HCF), new results on the interplay of the HCF and the torsion-twisted connection, and observations on the geometry of the torsion-twisted connection on a general Hermitian manifold." @default.
- W3103176944 created "2020-11-23" @default.
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- W3103176944 date "2020-05-28" @default.
- W3103176944 modified "2023-09-25" @default.
- W3103176944 title "On the structure of Hermitian manifolds with semipositive Griffiths curvature" @default.
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- W3103176944 doi "https://doi.org/10.1090/tran/8101" @default.
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