Cross curvature flow on a negatively curved solid torus

Details Cross curvature flow on a negatively curved solid torus Cross curvature flow on a negatively curved solid torus

2009-06-25

arxiv.org/abs/0906.4592v1

Mathematics

Differential Geometry

21 pages

Scientific paper

The classic 2pi-Theorem of Gromov and Thurston constructs a negatively curved metric on certain 3-manifolds obtained by Dehn filling. By Geometrization, any such manifold admits a hyperbolic metric. We outline a program using cross curvature flow to construct a smooth one-parameter family of metrics between the "2pi-metric" and the hyperbolic metric. We make partial progress in the program, proving long-time existence, preservation of negative sectional curvature, curvature bounds, and integral convergence to hyperbolic for the metrics under consideration.

Affiliated with

Also associated with

No associations

Rating

Cross curvature flow on a negatively curved solid torus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cross curvature flow on a negatively curved solid torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cross curvature flow on a negatively curved solid torus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536675