Sharp upper diameter bounds for compact shrinking Ricci solitons
Sign Up to like & getrecommendations! 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
Remark on a lower diameter bound for compact shrinking Ricci solitons
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2019.06.005
Abstract: Abstract In this paper, inspired by Fernandez-Lopez and Garcia-Rio [11] , we shall give a new lower diameter bound for compact non-trivial shrinking Ricci solitons depending on the range of the potential function, as well… read more here.
Keywords: lower diameter; ricci solitons; shrinking ricci; bound compact ... See more keywords