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Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space
| Title: | Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space |
| Authors: | Izumiya, Shyuichi Browse this author →KAKEN DB | | Kasedou, Masaki Browse this author |
| Keywords: | Lorentz-Minkowski space | | canal spacelike submanifold | | lightcone Gauss maps | | lightcone pedal hypersurface | | Lagrangian/Legendrian singularities |
| Issue Date: | May-2014 |
| Publisher: | World Scientific Publishing |
| Journal Title: | International Journal of Geometric Methods In Modern Physics |
| Volume: | 11 |
| Issue: | 5 |
| Start Page: | 1450049 |
| Publisher DOI: | 10.1142/S0219887814500492 |
| Abstract: | In this paper, we investigate differential geometry on spacelike submanifolds in Lorentz-Minkowski space from the viewpoint of contact with lightlike hyperplanes. It is called the lightlike flat geometry which has been well established for the codimension-two case. In order to develop the theory for the general codimension-case, we introduce the notion of codimension-two spacelike canal submanifolds which is a main tool in this paper. We apply the theory of Lagrangian/Legendrian singularities to codimension-two spacelike canal submanifolds and obtain the relation with the previous results on the codimension-two case. |
| Rights: | Electronic version of an article published as [International journal of geometric methods in modern physics, 11, 5, 2015, 1450049 [35 pages]] © [copyright World Scientific Publishing Company] |
| Relation: | http://www.worldscientific.com/worldscinet/ijgmmp |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/59114 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 泉屋 周一
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