Short-time existence of solutions to the cross curvature flow on 3-manifolds

被引：18

作者：

Buckland, JA ^{[1
]}

机构：

[1] Australian Natl Univ, Inst Math Sci, Ctr Math & Appl, Canberra, ACT 0200, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 06期

关键词：

nonlinear evolution equations; curvature flow; short-time existence;

D O I：

10.1090/S0002-9939-05-08204-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a compact 3-manifold with an initial Riemannian metric of positive (or negative) sectional curvature, we prove the short-time existence of a solution to the cross curvature flow. This is achieved using an idea first introduced by DeTurck (1983) in his work establishing the short-time existence of solutions to the Ricci flow.

引用

页码：1803 / 1807

页数：5