On the injectivity radius and tangent cones at infinity of gradient Ricci solitons
arXiv:1012.1217
Abstract
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 infinity of certain gradient Ricci solitons. We also study the asymptotic volume ratio of gradient Ricci solitons.
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