Nous construisons une famille de sous-variétés lagrangiennes dans la sphère complexe qui sont feuilletées par des sphères de dimension . Nous décrivons celles qui sont de plus lagrangiennes spéciales pour la structure de Calabi-Yau induite par la métrique de Stenzel.
We construct a family of Lagrangian submanifolds in the complex sphere which are foliated by -dimensional spheres. Among them we find those which are special Lagrangian with respect to the Calabi-Yau structure induced by the Stenzel metric.
@article{AFST_2007_6_16_2_215_0, author = {Anciaux, Henri}, title = {Special Lagrangian submanifolds in the complex sphere}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {215--227}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, volume = {Ser. 6, 16}, number = {2}, year = {2007}, doi = {10.5802/afst.1145}, mrnumber = {2331538}, zbl = {pre05236223}, language = {en}, url = {archive.numdam.org/item/AFST_2007_6_16_2_215_0/} }
Anciaux, Henri. Special Lagrangian submanifolds in the complex sphere. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 2, pp. 215-227. doi : 10.5802/afst.1145. http://archive.numdam.org/item/AFST_2007_6_16_2_215_0/
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