Totally umbilic surfaces in homogeneous 3-manifolds

Details Totally umbilic surfaces in homogeneous 3-manifolds Totally umbilic surfaces in homogeneous 3-manifolds

2006-04-18

arxiv.org/abs/math/0604391v2

Mathematics

Differential Geometry

28 pages, v2 : corrected typos, new section added. To appear in Commentarii Math. Helvet

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Totally umbilic surfaces in homogeneous 3-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Totally umbilic surfaces in homogeneous 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Totally umbilic surfaces in homogeneous 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195650