Vector fields on nonorientable surfaces
type: Item
instance of: scholarly article
title: Vector fields on nonorientable surfaces
zbMATH Open document ID: 1011.30034
DOI: 10.1155/S0161171203204038
author: I. Bârză
author: D. Ghisa
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/49977
review text: Summary: 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 \(X\). Some 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 Möbius strip supports the nontriviality of the concepts introduced in this paper.
Mathematics Subject Classification ID: 30F15
Mathematics Subject Classification ID: 30F50
zbMATH DE Number: 1883664
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1883664