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

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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

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Differential Geometry, 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/141355

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.1922
 http://arxiv.org/abs/0708.1922

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arXiv