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Slant Geometry of Spacelike Hypersurfaces in the Lightcone
| Title: | Slant Geometry of Spacelike Hypersurfaces in the Lightcone |
| Authors: | Izumiya, Shyuichi Browse this author | | Handan, Yildirim Browse this author |
| Keywords: | Legendrian dualities | | spacelike hypersurfaces | | lightcone | | Lorentz-Minkowski space |
| Issue Date: | 1-Feb-2010 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 953 |
| Start Page: | 1 |
| End Page: | 29 |
| Abstract: | In this paper, we consider one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in the lightcone. These geometries are constructed by applying two of one-parameter families of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski space. These Legendrian dualities have been recently given as a part of extensions of the mandala of Legendrian dualities in the previous research of the authors. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69760 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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