The Lorentzian surfaces in semi-Euclidean 4-space with index 2 |
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Authors: | Donghe Pei Lingling Kong Jianguo Sun Qi Wang |
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Affiliation: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China;2. Department of Mathematics, China University of Petroleum, Dongying 257061, PR China;3. Wen Zhou Middle School, Wenzhou 325014, PR China |
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Abstract: | The main goal of this paper is to study singularities of lightlike torus Gauss maps of Lorentzian surfaces (i.e., both tangent plane and normal plane are Lorentz) in semi-Euclidean 4-space with index 2. To do this, we construct a Lorentzian lightlike torus height function and reveal relations between singularities of the Lorentzian lightlike torus height function and those of lightlike torus Gauss map. In addition we study some properties of Lorentzian surface from geometrical viewpoint. |
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