no. 11-12
Differential Geometry
Lie geometry of flat fronts in hyperbolic space
[La géométrie de Lie des fronts plats dans l'éspace hyperbolique]

Présenté par : Marcel Berger

Burstall, Francis E.1 ; Hertrich-Jeromin, Udo1 ; Rossman, Wayne2
1 Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK
2 Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
Comptes Rendus. Mathématique, Tome 348 (2010) no. 11-12, pp. 661-664.

Nous proposons un point de vue de Lie géometrie sur les fronts plats dans l'éspace hyperbolique comme des surfaces Ω spéciales. Nous discutons ensuite la déformation Lie géometrique des fronts plats.

We propose a Lie geometric point of view on flat fronts in hyperbolic space as special Ω-surfaces and discuss the Lie geometric deformation of flat fronts.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.04.018
Burstall, Francis E. 1 ; Hertrich-Jeromin, Udo 1 ; Rossman, Wayne 2

1 Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK
2 Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan 
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Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne. Lie geometry of flat fronts in hyperbolic space. Comptes Rendus. Mathématique, Tome 348 (2010) no. 11-12, pp. 661-664. doi : 10.1016/j.crma.2010.04.018. http://www.numdam.org/articles/10.1016/j.crma.2010.04.018/

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