Submanifolds of codimension two with constant Moebius curvature and flat normal bu...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Libre Bruxelles, B-1050 Brussels - Belgium
[2] Katholieke Univ Leuven, Geometry Sect, B-3001 Louvain - Belgium
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 88, p. 105-112, FEB 2015. |
| Web of Science Citations: | 4 |
| Abstract | |
We give a local characterization of codimension two submanifolds which are marginally trapped in Robertson-Walker spaces, in terms of an algebraic equation to be satisfied by the height function. We prove the existence of a large number of local solutions. We refine the description in the case of curves with lightlike acceleration in three-dimensional spaces Robertson-Walker spaces, and in the case of codimension two submanifolds whose second fundamental form is lightlike. (C) 2014 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |