Results Related to the Chern–Yamabe Flow

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题名:	Results Related to the Chern–Yamabe Flow
作者:	Ho, Pak Tung
关键词:	Chern–Yamabe problem;Chern–Yamabe flow;Chern scalar curvature
日期:	2019-08-09
上传时间:	2023-03-15 16:06:26 (UTC+8)
出版者:	Springer
摘要:	Let (X,ω0) be a compact complex manifold of complex dimension n endowed with a Hermitian metric ω0. The Chern–Yamabe problem is to find a conformal metric of ω0 such that its Chern scalar curvature is constant. As a generalization of the Chern–Yamabe problem, we study the problem of prescribing Chern scalar curvature. We then estimate the first nonzero eigenvalue of Hodge–de Rham Laplacian of(X,ω0) . On the other hand, we prove a version of conformal Schwarz lemma on (X,ω0). All these are achieved by using geometric flows related to the Chern–Yamabe flow. Finally, we prove the backwards uniqueness of the Chern–Yamabe flow.
關聯:	The Journal of Geometric Analysis 31, p.187-220
显示于类别:	[Department of Applied Mathematics and Data Science] Journal Article

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