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

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

2010-12-06

arxiv.org/abs/1012.1217v2

Mathematics

Differential Geometry

The paper has been divided into two parts: one is concerned with the injectivity radius in the view of classical geometry, the

Scientific paper

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.

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