论文标题

无限维歧管上的多生物场的差异

Divergence of multivector fields on infinite-dimensional manifolds

论文作者

Bogdanskii, Yuri, Shram, Vladyslav

论文摘要

本文研究了具有ra度量的Banach歧管上多生物场的差异。提出的定义与有限维差异几何形状的经典差异一致。发散的某些自然特性转移到无限维度的情况下。

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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