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Ricci Flow with hyperbolic warped product metrics

Differential Geometry 2007-09-12 v1 Analysis of PDEs

Abstract

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.

Keywords

Cite

@article{arxiv.0709.1521,
  title  = {Ricci Flow with hyperbolic warped product metrics},
  author = {Li Ma and Xingwang Xu},
  journal= {arXiv preprint arXiv:0709.1521},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-06-21T09:16:02.931Z