The volume growth of complete gradient shrinking Ricci solitons

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.

References in corpus (1)

• Ricci flow with surgery on three-manifolds

Cited by in corpus (1)

• Sharp logarithmic Sobolev inequalities on gradient solitons and applications