Examples for Cross Curvature Flow on 3-Manifolds

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dc.creatorMa, Li
dc.creatorChen, Dezhong
dc.date2004-05-14
dc.date.accessioned2026-07-07T05:08:16Z
dc.date.available2026-07-07T05:08:16Z
dc.descriptionRecently, B.Chow and R.S.Hamilton 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 exist in both cases. But on the former the flow diverges at time infinity, and on the latter the flow converges at time infinity.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0405275
dc.identifierhttp://arxiv.org/abs/math/0405275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71192
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44
dc.titleExamples for Cross Curvature Flow on 3-Manifolds
dc.typetext

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