Title: Spatial and Lorentzian surfaces in Robertson-Walker space times
Authors: Chen, Bang-Yen * ×
Van der Veken, Joeri * #
Issue Date: Jul-2007
Publisher: American Institute of Physics
Series Title: Journal of Mathematical Physics vol:48 issue:7 pages:073509
Abstract: Let L^4_1(f,c)=(I ×_f S,g^c_f) be a Robertson-Walker space time which does not contain any open subset of constant curvature. In this paper, we provide a general study of nondegenerate surfaces in L^4_1(f,c). First, we prove the nonexistence of marginally trapped surfaces with positive relative nullity. Then, we classify totally geodesic submanifolds. Finally, we classify the family of surfaces with parallel second fundamental form and the family of totally umbilical surfaces with parallel mean curvature vector.
ISSN: 0022-2488
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
* (joint) first author
× corresponding author
# (joint) last author

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