The volume growth of complete gradient shrinking Ricci solitons

Details The volume growth of complete gradient shrinking Ricci solitons The volume growth of complete gradient shrinking Ricci solitons

2009-04-06

arxiv.org/abs/0904.0798v2

Mathematics

Differential Geometry

Scientific paper

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.

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