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

 

Some properties of closed $ 1$-forms on a special Riemannian manifold


Author: Gr. Tsagas
Journal: Proc. Amer. Math. Soc. 81 (1981), 104-106
MSC: Primary 53C20
MathSciNet review: 589147
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Abstract: Let $ M$ be a compact Riemannian manifold whose sectional curvature is strictly negative; then every closed $ 1$-form on $ M$ has a singularity.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0589147-5
PII: S 0002-9939(1981)0589147-5
Keywords: Riemannian manifold, closed $ 1$-form, harmonic $ 1$-form, negative $ \delta $-pinched, singularity of $ 1$-forms.
Article copyright: © Copyright 1981 American Mathematical Society