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arxiv: 1101.3563 · v1 · pith:Q43ZYJWEnew · submitted 2011-01-18 · 🧮 math.DG

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

classification 🧮 math.DG
keywords conditionnecessarypositivericcisufficientasymptoticcarrillochen
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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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