Change search
ReferencesLink to record
Permanent link

Direct link
Some remarks on the nonorientable surfaces
Glendon College, York University, Toronto.
Department of Mathematics, University of Bucharest.
1998 (English)In: Publications de l'Institut Mathématique (Beograd), ISSN 0350-1302, E-ISSN 1820-7405, Vol. 63, no 77, 47-54 p.Article in journal (Refereed) Published
Abstract [en]

It is a classical result of F. Klein that for any nonorientable (regular enough) surface $\boldkey X $ there is an orientable surface ${\Cal O}_2$ and an involution without fixed point of ${\Cal O}_2$ such that $\boldkey X $ is isomorphic to the quotient space of ${\Cal O}_2$ with respect to the group generated by the respective involution. In this note a reinforcement of the Klein's result is presented and the effect on the vector bundle of covariant tensors of second order on X produced by that involution is studied. The projection $p:{\Cal O}_2 \longto \boldkey X $ induces an isomorphism between the vector space of covariant tensors of order two on $\boldkey X$ and the space of covariant symmetric tensors of order two on ${\Cal O}_2$ which are invariant with respect to the given involution.

Place, publisher, year, edition, pages
1998. Vol. 63, no 77, 47-54 p.
Research subject
URN: urn:nbn:se:ltu:diva-12925Local ID: c1254af0-b2d0-11db-bf9d-000ea68e967bOAI: diva2:985876
Godkänd; 1998; 20070202 (kani)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(187 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 187 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links
In the same journal
Publications de l'Institut Mathématique (Beograd)

Search outside of DiVA

GoogleGoogle Scholar
Total: 1 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 2 hits
ReferencesLink to record
Permanent link

Direct link