On Stokes’ theorem for noncompact manifolds

Karp, Leon

doi:10.1090/S0002-9939-1981-0612746-9

On Stokes’ theorem for noncompact manifolds
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Proc. Amer. Math. Soc. 82 (1981), 487-490 Request permission

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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