Classification of marginally trapped Lorentzian flat surfaces in and its application to biharmonic surfaces |
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Authors: | Bang-Yen Chen |
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Institution: | aDepartment of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA |
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Abstract: | 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 . As an application, we obtain the complete classification of biharmonic Lorentzian surfaces in with light-like mean curvature vector. |
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Keywords: | Marginally trapped surface Pseudo-Euclidean space Biharmonic submanifold Biharmonic surface |
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