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arXiv:math/0606774 [math.DG]AbstractReferencesReviewsResources

The Topology of Open Manifolds with Nonnegative Ricci Curvature

Zhongmin Shen, Christina Sormani

Published 2006-06-30, updated 2006-11-16Version 2

We survey all results concerning the topology of complete noncompact Riemannian manifolds with nonnegative Ricci curvature that have no additional conditions other than restrictions to the dimension, volume growth or diameter growth of the manifold. We will also present relevant examples and list open problems.

Comments: survey article, 30 pages, 12 figures, (v2: change in the construction of the dyadic solenoid complement, other minor adjustments and typos corrected)
Journal: Proceedings of the Midwest Geometry Conference 2006, Communications in Mathematical Analysis Conf. 01 (2008), pp 11-19.
Categories: math.DG
Subjects: 53C20, 58B20
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