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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounded harmonic $ 1$-forms on complete manifolds


Author: M. Cocos
Journal: Proc. Amer. Math. Soc. 137 (2009), 1459-1465
MSC (2000): Primary 53C20
Published electronically: October 29, 2008
MathSciNet review: 2465672
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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: http://dx.doi.org/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
Published electronically: October 29, 2008
Communicated by: Varghese Mathai
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.