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

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

2007-08-14

arxiv.org/abs/0708.1922v2

Mathematics

Differential Geometry

18 pages

Scientific paper

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.

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