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A necessary and sufficient condition for Ricci shrinkers to have positive AVR
Bennett Chow, Peng Lu, Bo Yang
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Source: Crossref
Published: Sep 30, 2011
DOI: 10.1090/s0002-9939-2011-11173-0
Open original source ↗Source abstract
In this short paper 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. We give a necessary and sufficient condition for complete noncompact shrinking gradient Ricci solitons to have positive asymptotic volume ratio.
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