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arXiv · 2005.03827

Divergence of multivector fields on infinite-dimensional manifolds

Yuri Bogdanskii·Vladyslav Shram
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Abstract

This article studies divergence of multivector fields on Banach manifolds with a Radon measure. The proposed definition is consistent with the classical divergence from finite-dimensional differential geometry. Certain natural properties of divergence are transferred to the case of infinite dimension.

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BibTeXRIS

Yuri Bogdanskii, Vladyslav Shram. 2020-05-08. Divergence of multivector fields on infinite-dimensional manifolds. https://arxiv.org/abs/2005.03827

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