BANACH MANIFOLDS WITH BOUNDED STRUCTURE AND THE GAUSS-OSTROGRADSKII FORMULA

被引：11

作者：

Bogdanskii, Yu V. ^{[1
]}

机构：

[1] Ukrainian Natl Tech Univ, Kiev Polytech Inst, Inst Appl Syst Anal, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2013年 / 64卷 / 10期

关键词：

Banach Space; Model Space; Fundamental Form; Surface Measure; Borel Measure;

D O I：

10.1007/s11253-013-0730-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various versions of generalization of the classical Gauss-Ostrogradskii formula to infinite-dimensional linear spaces and configuration spaces are considered in [1-7]. In the present paper, we propose a version of the Gauss-Ostrogradskii formula for Banach manifolds equipped with atlases of a special class. As far as the author knows, the obtained result is new both in the case of Banach spaces and in the case of finite-dimensional manifolds with arbitrary Borel measure. The proposed paper is an essentially improved version of the work [8].

引用

页码：1475 / 1494

页数：20

共 38 条

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