Mathematics – Differential Geometry
Scientific paper
2007-08-14
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.
Cao Xiaodong
Ni Yilong
Saloff-Coste Laurent
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