New gap theorem on complete Riemannian manifolds

Details New gap theorem on complete Riemannian manifolds New gap theorem on complete Riemannian manifolds

2006-05-14

arxiv.org/abs/math/0605360v1

Mathematics

Differential Geometry

Scientific paper

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.

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