STOKES' THEOREM ON MANIFOLDS: A KURZWEIL-HENSTOCK APPROACH

被引：1
|
作者：
Boonpogkrong, Varayu [1 ,2 ]
机构：
[1] Prince Songkla Univ, Dept Math & Stat, Hat Yai 90110, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 04期
关键词：
The H-K integral; Partition of unity; Manifolds; Stokes' theorem;
D O I：
10.11650/tjm.17.2013.2701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, Stokes' theorem is proved by the Kurzweil-Henstock approach. Sufficient conditions for the existence of the exterior derivative of a k-form in R-n are given. Concepts of strong differentiability are used in sufficient conditions.
引用
收藏
页码：1183 / 1196
页数：14
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