Totally umbilic surfaces in homogeneous 3-manifoldsReport as inadecuate




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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 -

Source: https://hal.archives-ouvertes.fr/



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