Bounded harmonic 1-forms on complete manifolds

Cocos, M.

doi:10.1090/S0002-9939-08-09645-7

Bounded harmonic $1$-forms on complete manifolds
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Proc. Amer. Math. Soc. 137 (2009), 1459-1465 Request permission

Abstract:

In this paper we present some results concerning bounded harmonic $1$-forms on manifolds of compact type. As a corollary we obtain a rigidity result for the first cohomology group of locally isometric Riemannian manifolds.

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