Vector fields on nonorientable surfaces

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. Some representation theorems for the algebra of germs of functions, t...

Full description

Bibliographic Details
Main Authors: Ilie Barza, Dorin Ghisa
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203204038
id doaj-d7a12125464949eab04a04df77dca40a
record_format Article
spelling doaj-d7a12125464949eab04a04df77dca40a2020-11-24T20:59:59ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003313315210.1155/S0161171203204038Vector fields on nonorientable surfacesIlie Barza0Dorin Ghisa1Department of Engineering Sciences, Physics and Mathematics, Karlstad University, Karlstad, S-651 88, SwedenDepartment of Mathematics, Glendon College, York University, 2275-Bayview Avenue, Toronto M4N 3M6, CanadaA 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.http://dx.doi.org/10.1155/S0161171203204038
collection DOAJ
language English
format Article
sources DOAJ
author Ilie Barza
Dorin Ghisa
spellingShingle Ilie Barza
Dorin Ghisa
Vector fields on nonorientable surfaces
International Journal of Mathematics and Mathematical Sciences
author_facet Ilie Barza
Dorin Ghisa
author_sort Ilie Barza
title Vector fields on nonorientable surfaces
title_short Vector fields on nonorientable surfaces
title_full Vector fields on nonorientable surfaces
title_fullStr Vector fields on nonorientable surfaces
title_full_unstemmed Vector fields on nonorientable surfaces
title_sort vector fields on nonorientable surfaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description 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.
url http://dx.doi.org/10.1155/S0161171203204038
work_keys_str_mv AT iliebarza vectorfieldsonnonorientablesurfaces
AT doringhisa vectorfieldsonnonorientablesurfaces
_version_ 1716780749908082688

Similar Items