Gauss曲率具下界的Ricci流

doi:10.3969/j.issn.0253-2778.2011.05.001

中国科学技术大学学报 ›› 2011, Vol. 41 ›› Issue (5): 377-383.DOI: 10.3969/j.issn.0253-2778.2011.05.001

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Gauss曲率具下界的Ricci流

陈卿

中国科学技术大学数学系，安徽合肥 230026

收稿日期:2009-12-14 修回日期:2010-03-01 出版日期:2011-05-31 发布日期:2011-05-31

Ricci flow on surfaces with Gaussian curvature of initial metrics unbounded below

CHEN Qing

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2009-12-14 Revised:2010-03-01 Online:2011-05-31 Published:2011-05-31
Contact: CHEN Qing
About author:CHEN Qing (corresponding author), male, born in 1963, PhD/Prof. Research field: differential geometry.

摘要/Abstract

摘要： 证明了一个2维流形上，如果初始Riemann度量的Gauss曲率有下界，则不论度量是否完备，它的Ricci流存在.

关键词: Riemann度量, Gauss曲率, Ricci流

Abstract: The existence of Ricci flow on 2-dimension open manifolds with the Gaussian curvature of initial metrics unbounded below was proved. The initial metric can be either complete or incomplete.

Key words: Riemannian metric, Guassian curvature, Ricci flow

陈卿，严亚军. Gauss曲率具下界的Ricci流[J]. 中国科学技术大学学报, 2011, 41(5): 377-383.

CHEN Qing, YAN Yajun. Ricci flow on surfaces with Gaussian curvature of initial metrics unbounded below[J]. Journal of University of Science and Technology of China, 2011, 41(5): 377-383.

Gauss曲率具下界的Ricci流

Ricci flow on surfaces with Gaussian curvature of initial metrics unbounded below

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