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arXiv:math/0605360 [math.DG]AbstractReferencesReviewsResources

New gap theorem on complete Riemannian manifolds

Qi-hua Ruan

Published 2006-05-14, updated 2013-01-06Version 2

In this short note, we find a new gap phenomena on Riemannian manifolds, which says that for any complete noncompact Riemannian manifold with nonnegative Ricci curvature, if the scalar curvature decays faster than quadratically, then it is Ricci flat.

Comments: This paper has been withdrawn by the author due to some crucial errors
Categories: math.DG, math.AP
Subjects: 53C20, 53C21
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