Totally umbilic surfaces in homogeneous 3-manifolds
Résumé
We discuss existence and classification of totally umbilic surfaces in the model geometries of Thurston and the Berger spheres. We classify such surfaces in $H^2 \times R$, $S^2 \times R$ and the Sol group. We prove nonexistence in the Berger spheres and in the remaining model geometries other than the space forms.
Domaines
Géométrie différentielle [math.DG]Origine | Fichiers produits par l'(les) auteur(s) |
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