Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space |
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Authors: | Shyuichi Izumiya Handan Y?ld?r?m |
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Institution: | a Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan b Department of Mathematics, Faculty of Science, Istanbul University, 34134 Vezneciler, Istanbul, Turkey |
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Abstract: | In this paper we define one-parameter families of Legendrian double fibrations in the products of pseudo-spheres in Lorentz-Minkowski space which are the extensions of four Legendrian double fibrations in the previous research (Izumiya, 2009 9]). We show that these are contact diffeomorphic to each other. Moreover, we construct one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the Legendrian double fibrations. |
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Keywords: | 53A35 58C25 |
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