Totally umbilic surfaces in homogeneous 3-manifoldsReport as inadecuate

Totally umbilic surfaces in homogeneous 3-manifolds - Download this document for free, or read online. Document in PDF available to download.

1 IMJ - Institut de Mathématiques de Jussieu

Abstract : 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.

Author: Rabah Souam - Eric Toubiana -



Related documents