English

Stability of non compact steady and expanding gradient Ricci solitons

Differential Geometry 2014-04-10 v1

Abstract

We study the stability of non compact steady and expanding gradient Ricci solitons. We first show that strict linear stability implies dynamical stability. Then we give various sufficient geometric conditions ensuring the strict linear stability of such gradient Ricci solitons.

Keywords

Cite

@article{arxiv.1404.2390,
  title  = {Stability of non compact steady and expanding gradient Ricci solitons},
  author = {Alix Deruelle},
  journal= {arXiv preprint arXiv:1404.2390},
  year   = {2014}
}

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32 pages