The volume growth of complete gradient shrinking Ricci solitons
Differential Geometry
2009-04-22 v2 Analysis of PDEs
Abstract
We prove that any gradient shrinking Ricci soliton has at most Euclidean volume growth. This improves a recent result of H.-D. Cao and D. Zhou by removing a condition on the growth of scalar curvature.
Keywords
Cite
@article{arxiv.0904.0798,
title = {The volume growth of complete gradient shrinking Ricci solitons},
author = {Ovidiu Munteanu},
journal= {arXiv preprint arXiv:0904.0798},
year = {2009}
}