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arXiv:1512.00256 [math.DG]AbstractReferencesReviewsResources

On compact manifolds with harmonic curvature and positive scalar curvature

Hai-Ping Fu

Published 2015-12-01Version 1

Let $M^n(n\geq3)$ be an $n$-dimensional compact Riemannian manifold with harmonic curvature and positive scalar curvature. Assume that $M^n$ satisfies some integral pinching conditions. We give some rigidity theorems on compact manifolds with harmonic curvature and positive scalar curvature.

Comments: arXiv admin note: text overlap with arXiv:1408.0902 by other authors
Categories: math.DG
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