Cross Curvature Flow on Locally Homogeneous Three-manifolds (II)

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In this paper, we study the positive cross curvature flow on locally homogeneous 3-manifolds. We describe the long time behavior of these flows. We combine this with earlier results concerning the asymptotic behavior of the negative cross curvature flow to describe the two sided behavior of maximal solutions of the cross curvature flow on locally homogeneous 3-manifolds. We show that, typically, the positive cross curvature flow on locally homogeneous 3-manifold produce an Heisenberg type sub-Riemannian geometry.
39 pages

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Differential Geometry, 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/161454

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.3380
 http://arxiv.org/abs/0805.3380

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arXiv