Cross Curvature Flow on Locally Homogenous Three-manifolds (I)

Abstract

Chow and Hamilton introduced the cross curvature flow on closed 3-manifolds with negative or positive sectional curvature. In this paper, we study the negative cross curvature flow in the case of locally homogenous metrics on 3-manifolds. In each case, we describe the long time behavior of the solutions of the corresponding ODE system.

18 pages

Cited by in corpus (3)

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