Geodesic
Isometric immersions and embeddings of a flat M\"obius strip in Euclidean spaces
Izvestiya. Mathematics , Tome 71 (2007) no. 5, pp. 1049-1078

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish formulae for isometric embeddings and immersions of Möbius bands with a locally Euclidean metric and study extrinsic geometric properties of these surfaces. We consider both standard Möbius bands corresponding to embeddings of a rectangular Möbius strip and general Möbius bands, in particular, those with generators orthogonal to the directrix. 
@article{IM2_2007_71_5_a5,
     author = {I. Kh. Sabitov},
     title = {Isometric immersions and embeddings of a flat {M\"obius} strip in {Euclidean} spaces},
     journal = {Izvestiya. Mathematics },
     pages = {1049--1078},
     publisher = {mathdoc},
     volume = {71},
     number = {5},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2007_71_5_a5/}
}
TY  - JOUR
AU  - I. Kh. Sabitov
TI  - Isometric immersions and embeddings of a flat M\"obius strip in Euclidean spaces
JO  - Izvestiya. Mathematics 
PY  - 2007
SP  - 1049
EP  - 1078
VL  - 71
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2007_71_5_a5/
LA  - en
ID  - IM2_2007_71_5_a5
ER  - 
%0 Journal Article
%A I. Kh. Sabitov
%T Isometric immersions and embeddings of a flat M\"obius strip in Euclidean spaces
%J Izvestiya. Mathematics 
%D 2007
%P 1049-1078
%V 71
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2007_71_5_a5/
%G en
%F IM2_2007_71_5_a5
I. Kh. Sabitov. Isometric immersions and embeddings of a flat M\"obius strip in Euclidean spaces. Izvestiya. Mathematics , Tome 71 (2007) no. 5, pp. 1049-1078. http://geodesic.mathdoc.fr/item/IM2_2007_71_5_a5/