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

 

Stokes' theorem and parabolicity of Riemannian manifolds


Author: Moses Glasner
Journal: Proc. Amer. Math. Soc. 87 (1983), 70-72
MSC: Primary 31C12; Secondary 53C20, 53C65, 58A14
MathSciNet review: 677234
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Abstract: A noncompact Riemannian $ n$-manifold is parabolic if and only if Stokes' theorem is valid for every square integrable $ (n - 1)$-form with integrable derivative.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0677234-4
PII: S 0002-9939(1983)0677234-4
Keywords: Parabolic Riemannian manifold, Stokes' theorem, harmonic function, Dirichlet integral
Article copyright: © Copyright 1983 American Mathematical Society