Geodesic
DOUBLES OF KLEIN SURFACES
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 507-515

Voir la notice de l'article provenant de la source Cambridge University Press

Historical note. A non-orientable surface of genus 2 (meaning 2 cross-caps) is popularly known as the Klein bottle. However, the term Klein surface comes from Felix Klein's book “On Riemann's Theory of Algebraic Functions and their Integrals” (1882) where he introduced such surfaces in the final chapter.
DOI : 10.1017/S0017089512000109
Mots-clés : 30F50, 30F10 
COSTA, ANTONIO F.; HALL, WENDY; SINGERMAN, DAVID. DOUBLES OF KLEIN SURFACES. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 507-515. doi: 10.1017/S0017089512000109
@article{10_1017_S0017089512000109,
     author = {COSTA, ANTONIO F. and HALL, WENDY and SINGERMAN, DAVID},
     title = {DOUBLES {OF} {KLEIN} {SURFACES}},
     journal = {Glasgow mathematical journal},
     pages = {507--515},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000109},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000109/}
}
TY  - JOUR
AU  - COSTA, ANTONIO F.
AU  - HALL, WENDY
AU  - SINGERMAN, DAVID
TI  - DOUBLES OF KLEIN SURFACES
JO  - Glasgow mathematical journal
PY  - 2012
SP  - 507
EP  - 515
VL  - 54
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000109/
DO  - 10.1017/S0017089512000109
ID  - 10_1017_S0017089512000109
ER  - 
%0 Journal Article
%A COSTA, ANTONIO F.
%A HALL, WENDY
%A SINGERMAN, DAVID
%T DOUBLES OF KLEIN SURFACES
%J Glasgow mathematical journal
%D 2012
%P 507-515
%V 54
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000109/
%R 10.1017/S0017089512000109
%F 10_1017_S0017089512000109

[1] 1.Alling, N. L. and Greenleaf, N., Foundations of the theory of Klein surfaces. Lecture Notes in Mathematics, vol. 219 (Springer-Verlag, Berlin-New York, 1971), ix+117 pp. Google Scholar | DOI

[2] 2.Bujalance, E., Costa, A. F., Natanzon, S. M. and Singerman, D., Involutions of compact Klein surfaces, Math. Z. 211 (3) (1992), 461–478. Google Scholar | DOI

[3] 3.Bujalance, E., Etayo, J. J., Gamboa, J. M. and Gromadzki, G., Automorphism groups of compact bordered Klein surfaces. A combinatorial approach. Lecture Notes in Mathematics, vol. 1439 (Springer-Verlag, Berlin, 1990), xiv+201 pp. Google Scholar | DOI

[4] 4.Hall, W., Automorphisms and coverings of Klein surfaces, PhD Thesis (University of Southampton, 1977). Google Scholar

[5] 5.Hoare, A. H. M. and Singerman, D., The orientability of subgroups of plane groups. Groups–-St. Andrews 1981 (St. Andrews, 1981), pp. 221–227, London Math. Soc. Lecture Note Ser., vol. 71, (Cambridge University Press, Cambridge, 1982). Google Scholar

[6] 6.Singerman, D., On the structure of non-euclidean crystallographic groups, Proc. Camb. Phil. Soc. 76 (1974), 233–240. Google Scholar | DOI

Cité par Sources :