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Legendrian dualities and spacelike hypersurfaces in the lightcone
| Title: | Legendrian dualities and spacelike hypersurfaces in the lightcone |
| Authors: | Izumiya, Shyuichi Browse this author |
| Keywords: | Legendrian duality | | spacelike hypersurfaces | | the lightcone | | conformally flat Riemannian manifolds |
| Issue Date: | 2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 673 |
| Start Page: | 1 |
| End Page: | 39 |
| Abstract: | We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We can apply such dualities for constructing extrinsic differential geometry of spacelike hypersurfaces in pseudo-spheres. In this paper we stick to spacelike hypersurfaces in the lightcone and establish an extrinsic differential geometry which we call the lightcone differential geometry. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69478 |
| 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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