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.
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.
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@article{CRMATH_2013__351_21-22_825_0, author = {Cartier, S\'ebastien}, title = {Sym{\textendash}Bobenko formula for minimal surfaces in {Heisenberg} space}, journal = {Comptes Rendus. Math\'ematique}, pages = {825--827}, publisher = {Elsevier}, volume = {351}, number = {21-22}, year = {2013}, doi = {10.1016/j.crma.2013.10.014}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2013.10.014/} }
TY - JOUR AU - Cartier, Sébastien TI - Sym–Bobenko formula for minimal surfaces in Heisenberg space JO - Comptes Rendus. Mathématique PY - 2013 SP - 825 EP - 827 VL - 351 IS - 21-22 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.10.014/ DO - 10.1016/j.crma.2013.10.014 LA - en ID - CRMATH_2013__351_21-22_825_0 ER -
%0 Journal Article %A Cartier, Sébastien %T Sym–Bobenko formula for minimal surfaces in Heisenberg space %J Comptes Rendus. Mathématique %D 2013 %P 825-827 %V 351 %N 21-22 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.10.014/ %R 10.1016/j.crma.2013.10.014 %G en %F CRMATH_2013__351_21-22_825_0
Cartier, Sébastien. Sym–Bobenko formula for minimal surfaces in Heisenberg space. Comptes Rendus. Mathématique, Tome 351 (2013) no. 21-22, pp. 825-827. doi : 10.1016/j.crma.2013.10.014. http://www.numdam.org/articles/10.1016/j.crma.2013.10.014/
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☆ This work is part of the authorʼs Ph.D. thesis [5].