Paper · Apr 17, 2016
The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
As on arXiv
Abstract
In this paper we study a particular version of the Hermitian curvature flow (HCF) over a compact complex Hermitian manifold . We prove that if the initial metric has Griffiths positive (non-negative) Chern curvature , then this property is preserved along the flow. On a manifold with Griffiths non-negative Chern curvature the HCF has nice regularization properties, in particular, for any the zero set of becomes invariant under certain torsion-twisted parallel transport.
- Submitted
- Apr 17, 2016
- Last revised
- Dec 22, 2016 (v2)
- Subjects
- math.CV, math.DG
Comments: Mistake in the original preprint is corrected. The HCF with a certain torsion is considered. 18 pages
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