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Bounded harmonic $ 1$-forms on complete manifolds

Author(s): M. Cocos
Journal: Proc. Amer. Math. Soc. 137 (2009), 1459-1465.
MSC (2000): Primary 53C20
Posted: October 29, 2008
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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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Additional Information:

M. Cocos
Affiliation: Department of Mathematics, Weber State University, 1702 University Circle, Ogden, Utah 84408-1702

DOI: 10.1090/S0002-9939-08-09645-7
PII: S 0002-9939(08)09645-7
Received by editor(s): February 28, 2008,
Received by editor(s) in revised form: May 15, 2008
Posted: October 29, 2008
Communicated by: Varghese Mathai
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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