End-to-end gluing of constant mean curvature hypersurfaces
Mohamed Jleli (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
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.