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Banach Manifolds with Bounded Structure and the Gauss–Ostrogradskii Formula

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Ukrainian Mathematical Journal Aims and scope

We propose a version of the Gauss–Ostrogradskii formula for a Banach manifold with uniform atlas.

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Authors and Affiliations

  1. Institute of Applied Systems Analysis of the “Kiev Polytechnic Institute” Ukrainian National Technical University, Kiev, Ukraine

    Yu. V. Bogdanskii

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  1. Yu. V. Bogdanskii
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1299–1313, October, 2012.

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Bogdanskii, Y.V. Banach Manifolds with Bounded Structure and the Gauss–Ostrogradskii Formula. Ukr Math J 64, 1475–1494 (2013). https://doi.org/10.1007/s11253-013-0730-9

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  • DOI: https://doi.org/10.1007/s11253-013-0730-9

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