Title of article :
Classification of marginally trapped Lorentzian flat surfaces in E42
and its application to biharmonic surfaces
Bang-Yen Chen، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
A surface in a semi-Riemannian manifold is called marginally trapped if its mean curvature vector field is light-like at each
point. In this article, we classify marginally trapped Lorentzian flat surfaces in the pseudo-Euclidean space E42
. As an application,
we obtain the complete classification of biharmonic Lorentzian surfaces in E42
with light-like mean curvature vector.
© 2007 Elsevier Inc. All rights reserved.
Marginally trapped surface , Pseudo-Euclidean space , Biharmonic surface , Biharmonic submanifold
Journal title :
Journal of Mathematical Analysis and Applications