Ricci Flow with hyperbolic warped product metrics

Details Ricci Flow with hyperbolic warped product metrics Ricci Flow with hyperbolic warped product metrics

2007-09-11

arxiv.org/abs/0709.1521v1

Mathematics

Differential Geometry

9 pages

Scientific paper

In this short note, we show that the negative curvature is preserved in the
deformation of hyperbolic warped product metrics under Ricci flow. It is also
showed that the flow converges to a flat metric as time going to infinity.

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