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Sharp upper diameter bounds for compact shrinking Ricci solitons

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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… read more here.

Keywords: compact shrinking; ricci solitons; shrinking ricci; upper diameter ... See more keywords