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Published in 2020 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09764-7
Abstract: We give a sharp upper diameter bound for a compact shrinking Ricci soliton in terms of its scalar curvature integral and the Perelman's entropy functional. The sharp cases could occur at round spheres. The proof…
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Keywords:
compact shrinking;
ricci solitons;
shrinking ricci;
upper diameter ... See more keywords