Divergence of multivector fields on infinite-dimensional manifolds
Differential Geometry
2020-05-11 v1
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.
Keywords
Cite
@article{arxiv.2005.03827,
title = {Divergence of multivector fields on infinite-dimensional manifolds},
author = {Yuri Bogdanskii and Vladyslav Shram},
journal= {arXiv preprint arXiv:2005.03827},
year = {2020}
}
Comments
15 pages