L2 Forms and Ricci Flow with Bounded Curvature on Complete Non-Compact Manifolds

被引：0

作者：

Li Ma

Yang Yang

机构：

[1] Tsinghua University,Department of Mathematical Sciences

来源：

Geometriae Dedicata | 2006年 / 119卷

关键词：

Ricci flow; Forms; Monotonicity; 53Cxx;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the evolution of L2 one forms under Ricci flow with bounded curvature on a non-compact Rimennian manifold. We show on such a manifold that the L2 norm of a smooth one form is non-increasing along the Ricci flow with bounded curvature. The L∞ norm is showed to have monotonicity property too. Then we use L∞ cohomology of one forms with compact support to study the singularity model for the Ricci flow on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S^1\times\mathbb{R}^{n-1}$$\end{document}.

引用

页码：151 / 158

页数：7

共 19 条

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