Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space
We consider one-parameter null hypersurfaces associated with spacelike curves. The spacelike curves are in anti-de Sitter 3-space while one-parameter null hypersurfaces lie in 4-dimensional semi-Euclidean space with index 2. We classify the generic singularities of the hypersurfaces, which are cuspi...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2319741 |
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| author | Yongqiao Wang Donghe Pei Ruimei Gao |
| author_facet | Yongqiao Wang Donghe Pei Ruimei Gao |
| author_sort | Yongqiao Wang |
| collection | DOAJ |
| description | We consider one-parameter null hypersurfaces associated with spacelike curves. The spacelike curves are in anti-de Sitter 3-space while one-parameter null hypersurfaces lie in 4-dimensional semi-Euclidean space with index 2. We classify the generic singularities of the hypersurfaces, which are cuspidal edges and swallowtails. And we reveal the geometric meanings of the singularities of such hypersurfaces by the singularity theory. |
| format | Article |
| id | doaj-art-a30bfd9f444f4292a0c162e9aae3245c |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a30bfd9f444f4292a0c162e9aae3245c2025-08-20T02:20:33ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/23197412319741Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean SpaceYongqiao Wang0Donghe Pei1Ruimei Gao2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaDepartment of Science, Changchun University of Science and Technology, Changchun 130022, ChinaWe consider one-parameter null hypersurfaces associated with spacelike curves. The spacelike curves are in anti-de Sitter 3-space while one-parameter null hypersurfaces lie in 4-dimensional semi-Euclidean space with index 2. We classify the generic singularities of the hypersurfaces, which are cuspidal edges and swallowtails. And we reveal the geometric meanings of the singularities of such hypersurfaces by the singularity theory.http://dx.doi.org/10.1155/2016/2319741 |
| spellingShingle | Yongqiao Wang Donghe Pei Ruimei Gao Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space Journal of Function Spaces |
| title | Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space |
| title_full | Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space |
| title_fullStr | Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space |
| title_full_unstemmed | Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space |
| title_short | Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space |
| title_sort | singularities for one parameter null hypersurfaces of anti de sitter spacelike curves in semi euclidean space |
| url | http://dx.doi.org/10.1155/2016/2319741 |
| work_keys_str_mv | AT yongqiaowang singularitiesforoneparameternullhypersurfacesofantidesitterspacelikecurvesinsemieuclideanspace AT donghepei singularitiesforoneparameternullhypersurfacesofantidesitterspacelikecurvesinsemieuclideanspace AT ruimeigao singularitiesforoneparameternullhypersurfacesofantidesitterspacelikecurvesinsemieuclideanspace |