Examples for cross curvature flow on 3-manifolds

Ma, Li; Chen, Dezhong
June 2006
Calculus of Variations & Partial Differential Equations;Jun2006, Vol. 26 Issue 2, p227
Academic Journal
Recently, B. Chow and R.S. Hamilton [3] introduced the cross curvature flow on 3-manifolds. In this paper, we analyze two interesting examples for this new flow. One is on a square torus bundle over a circle, and the other is on a S 2 bundle over a circle. We show that the global flow exists in both cases. However, on the former the flow diverges at time infinity, and on the latter the flow converges at time infinity.


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