Photo from wikipedia
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… Click to show full 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 mainly relies on the sharp logarithmic Sobolev inequality of gradient shrinking Ricci solitons and a Vitali-type covering argument.
Keywords:
compact shrinking;
ricci solitons;
shrinking ricci;
upper diameter;
sharp upper
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!