| 摘要: |
| 本文研究了黎曼流形上一类一般的曲率流问题.利用Perelman在Ricci流下导出体积单调性的方法,在初始流形完备非紧的情况下,获得了这类曲率流的一个单调性的体积公式,推广了Reto Müller在紧致情形的结果. |
| 关键词: 曲率流 单调性公式 |
| DOI： |
| 分类号:O186.12 |
| 基金项目: |
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| MONOTONE VOLUME FORMULA FOR GEOMETRIC FLOW ON COMPLETE NONCOMPACT RIEMANNIAN MANIFOLD |
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YANG Fei,SHEN Jing-fang
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YANG Fei1,2,SHEN Jing-fang 3 (1.School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China) (2.Center of Mathematical Science,Zhejiang University,Hangzhou 310027,China) (3.College of Sciences,Huazhong Agricultural University,Wuhan 430070,China)
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| Abstract: |
| We consider a kind of general geometric flow problem. By utilizing Perelman's method under the Ricci flow, when the initial manifold is complete and noncompact, we obtain compact. |
| Key words: geometric flow monotonicity formula |
