English

A necessary and sufficient condition for Ricci shrinkers to have positive AVR

Differential Geometry 2011-01-20 v1

Abstract

In this short note we observe that a recent result of C.-W. Chen meshes well with earlier work of H.-D. Cao and D.-T. Zhou, O. Munteanu, J. Carrillo and L. Ni, and S.-J. Zhang to give a necessary and sufficient condition for complete noncompact shrinking gradient Ricci solitons to have positive asymptotic volume ratio.

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Cite

@article{arxiv.1101.3563,
  title  = {A necessary and sufficient condition for Ricci shrinkers to have positive AVR},
  author = {Bennett Chow and Peng Lu and Bo Yang},
  journal= {arXiv preprint arXiv:1101.3563},
  year   = {2011}
}

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3 pages