Time-like hypersurfaces in de Sitter space and Legendrian singularities |
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Authors: | Shyuichi Izumiya |
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Institution: | (1) Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan |
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Abstract: | We construct a basic framework for studying the extrinsic differential geometry on time-like hypersurfaces in the de Sitter
space from the viewpoint of the theory of Legendrian singularities. As an application, we study the contact of time-like hypersurfaces
with flat totally umbilic time-like hypersurfaces in the de Sitter space.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 33, Suzdal
Conference-2004, Part 1, 2005. |
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Keywords: | |
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