Totally umbilic surfaces in homogeneous 3-manifolds
نویسندگان
چکیده
منابع مشابه
umbilic surfaces in homogeneous 3 - manifolds
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 × R, S × R and the Sol group. We prove nonexistence in the Berger spheres and in the remaining model geometries other than the space forms.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2009
ISSN: 0010-2571
DOI: 10.4171/cmh/177