End-to-end gluing of constant mean curvature hypersurfaces
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 4, pp. 717-737.

Il a été observé par R. Kusner et prouvé par J. Ratzkin qu’on peut recoller ensemble deux surfaces à courbure moyenne constante ayant deux bouts de même paramètre de Delaunay. Cette procédure de recollement est connu comme « somme connexe bout-à-bout ». Dans ce papier, nous donnons une généralisation de cette construction en dimension quelconque dans le but de construire des nouvelles hypersurfaces à courbure moyenne constante à partir des hypersurfaces connues.

It was observed by R. Kusner and proved by J. Ratzkin that one can connect together two constant mean curvature surfaces having two ends with the same Delaunay parameter. This gluing procedure is known as a “end-to-end connected sum”. In this paper we generalize, in any dimension, this gluing procedure to construct new constant mean curvature hypersurfaces starting from some known hypersurfaces.

DOI : 10.5802/afst.1222
Jleli, Mohamed 1

1 Département de mathématiques. Ecole supérieure des Sciences et Techniques de Tunis, 5 Avenue Taha Hussein 1008, Tunisia.
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Jleli, Mohamed. End-to-end gluing of constant mean curvature hypersurfaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 4, pp. 717-737. doi : 10.5802/afst.1222. http://www.numdam.org/articles/10.5802/afst.1222/

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