Dept. Math, Hokkaido Univ. EPrints Server

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

Preprint Series # 948
Izumiya, Shyuichi and Yildirim, Handan Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. (15 October 2009);

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Abstract

In this paper we show one-parameter families of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski space which are the extensions of four dualities in the previous research. Moreover, we construct new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the mandala.

Item Type:Preprint
Uncontrolled Keywords:Legendrian dualities, Lorentz-Minkowski space, Pseudo-spheres
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2014