Comptes Rendus
no. 21-22
Differential geometry
Sym–Bobenko formula for minimal surfaces in Heisenberg space

Presented by: the Editorial Board

Sébastien Cartier1
1 Université Paris-Est, Laboratoire dʼanalyse et de mathématiques appliquées (UMR 8050), UPEC, UPEMLV, CNRS, 94010 Créteil, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 825-827.

We give an immersion formula, the Sym–Bobenko formula, for minimal surfaces in the 3-dimensional Heisenberg space. Such a formula can be used to give a generalized Weierstrass type representation and construct explicit examples of minimal surfaces.

On donne une formule dʼimmersions, dite de Sym–Bobenko, pour les surfaces minimales de lʼespace de Heisenberg de dimension 3. Une telle formule peut être utilisée pour écrire une représentation de Weierstrass généralisée et construire des exemples explicites de surfaces minimales.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.10.014

Sébastien Cartier 1

1 Université Paris-Est, Laboratoire dʼanalyse et de mathématiques appliquées (UMR 8050), UPEC, UPEMLV, CNRS, 94010 Créteil, France 
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Sébastien Cartier. Sym–Bobenko formula for minimal surfaces in Heisenberg space. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 825-827. doi : 10.1016/j.crma.2013.10.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.014/

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☆ This work is part of the authorʼs Ph.D. thesis [5].

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