We propose a general method of constructing spherical CR manifolds by gluing tetrahedra adapted to CR geometry. We obtain spherical CR structures on the complement of the figure eight knot and the Whitehead link complement with holonomy in and respectively (the same integer rings appearing in real hyperbolic geometry).
On propose une méthode de construction géométrique des variétés CR sphériques par recollement des tétrahèdres. Pour les complémentaires de la figure huit et l'entrelac de Whitehead, on obtient des structures avec holonomies dans et respectivement (les mêmes anneaux d'entiers que dans le cas hyperbolique réel).
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@article{CRMATH_2005__340_7_503_0, author = {Falbel, Elisha}, title = {Constructing spherical {CR} manifolds by gluing tetrahedra}, journal = {Comptes Rendus. Math\'ematique}, pages = {503--506}, publisher = {Elsevier}, volume = {340}, number = {7}, year = {2005}, doi = {10.1016/j.crma.2005.02.014}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.02.014/} }
TY - JOUR AU - Falbel, Elisha TI - Constructing spherical CR manifolds by gluing tetrahedra JO - Comptes Rendus. Mathématique PY - 2005 SP - 503 EP - 506 VL - 340 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.02.014/ DO - 10.1016/j.crma.2005.02.014 LA - en ID - CRMATH_2005__340_7_503_0 ER -
%0 Journal Article %A Falbel, Elisha %T Constructing spherical CR manifolds by gluing tetrahedra %J Comptes Rendus. Mathématique %D 2005 %P 503-506 %V 340 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.02.014/ %R 10.1016/j.crma.2005.02.014 %G en %F CRMATH_2005__340_7_503_0
Falbel, Elisha. Constructing spherical CR manifolds by gluing tetrahedra. Comptes Rendus. Mathématique, Volume 340 (2005) no. 7, pp. 503-506. doi : 10.1016/j.crma.2005.02.014. http://archive.numdam.org/articles/10.1016/j.crma.2005.02.014/
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