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

Chih-Wei Chen

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arXiv · 1012.1217

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

Chih-Wei Chen

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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.

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BibTeX RIS

Chih-Wei Chen. 2010-12-06. On the injectivity radius and tangent cones at infinity of gradient Ricci solitons. https://arxiv.org/abs/1012.1217

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