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Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space

Izumiya, Shyuichi; Yildirim, Handan


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        "name": "Izumiya, Shyuichi"
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        "affiliation": "Istanbul Univ, Dept Math, Fac Sci, TR-34134 Istanbul, Turkey", 
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    "description": "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 (lzumiya, 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. (C) 2011 Elsevier B.V. All rights reserved.", 
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