Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces
The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/817154 |
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| _version_ | 1832549084498493440 |
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| author | Jianguo Sun Donghe Pei |
| author_facet | Jianguo Sun Donghe Pei |
| author_sort | Jianguo Sun |
| collection | DOAJ |
| description | The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces. We introduce the notions of flatness for these hypersurfaces and study their singularities. |
| format | Article |
| id | doaj-art-2ea02f63564d4ce5acc779f408db6d4d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2ea02f63564d4ce5acc779f408db6d4d2025-02-03T06:12:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/817154817154Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian SurfacesJianguo Sun0Donghe Pei1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaThe lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces. We introduce the notions of flatness for these hypersurfaces and study their singularities.http://dx.doi.org/10.1155/2014/817154 |
| spellingShingle | Jianguo Sun Donghe Pei Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces Abstract and Applied Analysis |
| title | Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces |
| title_full | Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces |
| title_fullStr | Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces |
| title_full_unstemmed | Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces |
| title_short | Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces |
| title_sort | lightlike hypersurfaces and canal hypersurfaces of lorentzian surfaces |
| url | http://dx.doi.org/10.1155/2014/817154 |
| work_keys_str_mv | AT jianguosun lightlikehypersurfacesandcanalhypersurfacesoflorentziansurfaces AT donghepei lightlikehypersurfacesandcanalhypersurfacesoflorentziansurfaces |