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Hokkaido University Preprint Series in Mathematics >
The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces
| Title: | The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces |
| Authors: | Izumiya, Shyuichi Browse this author | | Saji, Kentaro Browse this author |
| Keywords: | Legendrian duality | | Horo-spherical geometry | | Horo-flat surfaces | | Singularities | | Lorentz-Minkowski space | | Pseudo-spheres |
| Issue Date: | 30-Sep-2009 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 947 |
| Start Page: | 1 |
| End Page: | 35 |
| Abstract: | Using the Legnedrian duarities between surfaces in pseudo-spheres in Lorentz-{Minkow}{ski} 4-space, we study various kind of flat surfaces in pseudo-spheres. We consider a surface in the pseudo-sphere and its dual surface. Flatness of a surface is defined by the degeneracy of the dual surface similar to the case for the Gauss map of a flat surface in the Euclidean space. We study singularities of these flat surfaces and dualities of singularities. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69754 |
| 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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