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Cross curvature flow
on locally homogenous three-manifolds, I
Xiaodong Cao, Yilong Ni and Laurent Saloff-Coste |
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Vol. 236 (2008), No. 2, 263–281
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Abstract |
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Chow and Hamilton introduced the cross curvature flows on closed three-manifolds with negative or positive sectional curvature. We study the negative cross curvature flow in the case of locally homogeneous metrics on three-manifolds. In each case, we describe the long time behavior of the solutions of the corresponding ODE system. |
Keywords
cross curvature flow, locally homogeneous three-manifolds
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Mathematical Subject Classification 2000
Primary: 53C44
Secondary: 58J35
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Milestones
Received: 6 November 2007
Revised: 12 March 2008
Accepted: 9 April 2008
Published: 1 June 2008
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Authors |
| Xiaodong Cao | |
| Department of Mathematics 507 Malott Hall Cornell University Ithaca, NY 14853-4201 Unites States |
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| http://www.math.cornell.edu/People/Faculty/caox.html | |
| Yilong Ni | |
| Department of Mathematics University of Oklahoma Norman, OK 73019 United States |
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| Laurent Saloff-Coste | |
| Department of Mathematics 567 Malott Hall Cornell University Ithaca, NY 14853-4201 United States |
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| http://www.math.cornell.edu/People/Faculty/saloffcoste.html | |
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