Lower diameter bounds for compact shrinking Ricci solitons
Differential Geometry
2010-07-13 v1
Abstract
It is shown that the diameter of a compact shrinking Ricci soliton has a universal lower bound. This is proved by extending universal estimates for the first non-zero eigenvalue of Laplacian on compact Riemannian manifolds with lower Ricci curvature bound to a twisted Laplacian on compact shrinking Ricci solitons.
Cite
@article{arxiv.1007.1759,
title = {Lower diameter bounds for compact shrinking Ricci solitons},
author = {Akito Futaki and Yuji Sano},
journal= {arXiv preprint arXiv:1007.1759},
year = {2010}
}
Comments
14 pages