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On Volume Growth of Gradient Steady Ricci Solitons

Differential Geometry 2016-01-20 v1

Abstract

In this paper we study volume growth of gradient steady Ricci solitons. We show that if the potential function satisfies a uniform condition, then the soliton has at most Euclidean volume growth.

Keywords

Cite

@article{arxiv.1208.2040,
  title  = {On Volume Growth of Gradient Steady Ricci Solitons},
  author = {Guofang Wei and Peng Wu},
  journal= {arXiv preprint arXiv:1208.2040},
  year   = {2016}
}

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8 pages