Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735205 | Journal of Geometry and Physics | 2012 | 19 Pages |
Abstract
We classify all the surfaces in M2(c1)ÃM2(c2) for which the tangent space TpM2 makes constant angles with Tp(M2(c1)Ã{p2}) (or equivalently with Tp({p1}ÃM2(c2)) for every point p=(p1,p2) of M2. Here M2(c1) and M2(c2) are 2-dimensional space forms, not both flat. As a corollary we give a classification of all the totally geodesic surfaces in M2(c1)ÃM2(c2).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Franki Dillen, Daniel Kowalczyk,