A Riemann type definition of a variational integral

Pfeffer, Washek F.

doi:10.1090/S0002-9939-1992-1072090-2

A Riemann type definition of a variational integral
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Proc. Amer. Math. Soc. 114 (1992), 99-106 Request permission

Abstract:

We present a Riemann type definition of a coordinate free integral for which a general divergence theorem holds. The definition is particularly simple in dimension one.

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