1-Lightlike surfaces in semi-Euclidean 4-space with index two
نویسندگان
چکیده
By establishing some differential geometry theory on the 1-lightlike surfaces, we show several geometric properties of the 1-lightlike surfaces which are completely different from non-lightlike surfaces. Based on these theories, we consider the singularities of the 1-lightlike surfaces in semiEuclidean 4-space with index two as an application of the theory of Legendrian singularities. We characterize the singularities of the 1-lightlike focal hypersurfaces and describe the contacts between the 1-lightlike surface and the anti de Sitter 3-sphere at singular points by employing Montaldi’s theory. In addition, we also discuss the detailed differential geometric properties of the 1-lightlike focal hypersurfaces in semi-Euclidean 4-space with index 2. Finally, an example will be proposed to explain our findings. c ©2016 All rights reserved.
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تاریخ انتشار 2016