不可定向表面上的向量场

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI:10.1155/S0161171203204038

I. Bârză, D. Ghisa

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引用次数: 1

摘要

建立了NOS X上的函数与切向量的胚芽和函数的双胚芽之间的一一对应关系，分别在X的可定向双盖上给出了切向量的初等域(EFTV)，并利用对称过程证明了函数胚芽代数、X任意点上的切空间和X上的向量场空间的一些表示定理。一个关于莫比乌斯带边界上的法向导数的例子支持了本文所引入的概念的非平凡性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Vector fields on nonorientable surfaces

A one-to-one correspondence is established between the germs of functions and tangent vectors on a NOS X and the bi-germs of functions, respectively, elementary fields of tangent vectors (EFTV) on the orientable double cover of X .S ome representation theorems for the algebra of germs of functions, the tangent space at an arbitrary point of X, and the space of vector fields on X are proved by using a symmetrisation process. An example related to the normal derivative on the border of the Mobius strip supports the nontriviality of the concepts introduced in this paper.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.