arXiv:1012.1217 Abstract | arXiv Analytics

arXiv:1012.1217 [math.DG]Abstract References Reviews Resources

On the injectivity radius and tangent cones at infinity of gradient Ricci solitons

Published 2010-12-06, updated 2011-05-30Version 2

A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at in?nity of certain gradient Ricci solitons. We also study the asymptotic volume ratio of gradient Ricci solitons.

Comments: The paper has been divided into two parts: one is concerned with the injectivity radius in the view of classical geometry, the other has been developed into the following article: Volume Estimates And The Asymptotic Behavior of Expanding Gradient Ricci Solitons

Categories: math.DG

Subjects: 53C44, 53C22

Keywords: gradient ricci solitons, injectivity radius, complete riemannian manifolds, pure geometric viewpoint, study tangent cones

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