Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows

IF 2 1区数学

Geometry & Topology Pub Date : 2020-04-11 DOI:10.2140/gt.2021.25.3629

Y. Lai

引用次数: 4

Abstract

We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3d complete Riemannian manifold with non-negative Ricci curvature, there exists a smooth Ricci flow starting from it.

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利用奇异里奇流产生非负里奇曲率的三维里奇流

将Kleiner和Lott的奇异Ricci流的概念从三维紧流形推广到三维曲率可能无界的完全流形。作为广义奇异Ricci流的一个应用，我们证明了对于任意具有非负Ricci曲率的三维完备黎曼流形，存在从其出发的光滑Ricci流。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.