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Proceedings of the American Mathematical Society

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On Stokes' theorem for noncompact manifolds

Author: Leon Karp
Journal: Proc. Amer. Math. Soc. 82 (1981), 487-490
MSC: Primary 58A10; Secondary 58G99
MathSciNet review: 612746
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Abstract: Stokes' theorem was first extended to noncompact manifolds by Gaffney. This paper presents a version of this theorem that includes Gaffney's result (and neither covers nor is covered by Yau's extension of Gaffney's theorem). Some applications of the main result to the study of subharmonic functions on noncompact manifolds are also given.

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Keywords: Stokes' theorem, divergence theorem, subharmonic function, harmonic function, Gaussian curvature, sectional curvature
Article copyright: © Copyright 1981 American Mathematical Society