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Volume growth estimates of gradient Ricci solitons

Differential Geometry 2022-03-01 v1

Abstract

In this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume growth estimates for expanding gradient Ricci solitons.

Keywords

Cite

@article{arxiv.2202.13302,
  title  = {Volume growth estimates of gradient Ricci solitons},
  author = {Pak-Yeung Chan and Zilu Ma and Yongjia Zhang},
  journal= {arXiv preprint arXiv:2202.13302},
  year   = {2022}
}

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20 pages