Codimension two marginally trapped submanifolds in Robertson-Walker spaces
Differential Geometry
2015-06-22 v3 Mathematical Physics
math.MP
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 null acceleration in three-dimensional spaces Robertson-Walker spaces, and in the case of codimension two submanifolds whose second fundamental form is null
Keywords
Cite
@article{arxiv.1406.5519,
title = {Codimension two marginally trapped submanifolds in Robertson-Walker spaces},
author = {Henri Anciaux and Nastassja Cipriani},
journal= {arXiv preprint arXiv:1406.5519},
year = {2015}
}
Comments
16 pages, Bibliography updated and small corrections