Differential Geometry
On bounds for total absolute curvature of surfaces in hyperbolic 3-space
[Quelques bornes pour la courbure totale de surfaces dans l'espace hyperbolique de dimension 3]

Présenté par : Étienne Ghys

Langevin, Rémi1 ; Solanes, Gil2
1 Laboratoire de Topologie, Université de Bourgogne, UMR 5584 (CNRS) BP 47870, 21078 Dijon cedex, France
2 Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
Comptes Rendus. Mathématique, Tome 336 (2003) no. 1, pp. 47-50.

Nous construisons des exemples de surfaces dans l'espace hyperbolique qui ne satisfont pas l'inégalité de Chern–Lashof (qui est vérifiée pour les surfaces immergées dans l'espace euclidien).

We construct examples of surfaces in hyperbolic space which do not satisfy the Chern–Lashof inequality (which holds for immersed surfaces in Euclidean space).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)00003-1
Langevin, Rémi 1 ; Solanes, Gil 2

1 Laboratoire de Topologie, Université de Bourgogne, UMR 5584 (CNRS) BP 47870, 21078 Dijon cedex, France
2 Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain 
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Langevin, Rémi; Solanes, Gil. On bounds for total absolute curvature of surfaces in hyperbolic 3-space. Comptes Rendus. Mathématique, Tome 336 (2003) no. 1, pp. 47-50. doi : 10.1016/S1631-073X(02)00003-1. http://archive.numdam.org/articles/10.1016/S1631-073X(02)00003-1/

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