Sharp upper diameter bounds for compact shrinking Ricci solitons
نویسندگان
چکیده
We give a sharp upper diameter bound for compact shrinking Ricci soliton in terms of its scalar curvature integral and the Perelman’s entropy functional. The cases could occur at round spheres. proof mainly relies on logarithmic Sobolev inequality gradient solitons Vitali-type covering argument.
منابع مشابه
Geometry of compact shrinking Ricci solitons
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2021
ISSN: ['1572-9060', '0232-704X']
DOI: https://doi.org/10.1007/s10455-021-09764-7