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

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dc.creatorCao, Xiaodong
dc.creatorSaloff-Coste, Laurent
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:40:20Z
dc.date.available2026-07-07T09:40:20Z
dc.descriptionIn 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.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0805.3380
dc.identifierhttp://arxiv.org/abs/0805.3380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161454
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleCross Curvature Flow on Locally Homogeneous Three-manifolds (II)
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