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

Published 6 Dec 2010 in math.DG | (1012.1217v2)

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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Chih-Wei Chen

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