Dept. Math, Hokkaido Univ. EPrints Server

Slant Geometry of Spacelike Hypersurfaces in the Lightcone

Preprint Series # 953
Izumiya, Shyuichi and Handan, Yildirim Slant Geometry of Spacelike Hypersurfaces in the Lightcone. (01 February 2010);

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Abstract

In this paper, we consider one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in the lightcone. These geometries are constructed by applying two of one-parameter families of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski space. These Legendrian dualities have been recently given as a part of extensions of the mandala of Legendrian dualities in the previous research of the authors.

Item Type:Preprint
Uncontrolled Keywords:Legendrian dualities, spacelike hypersurfaces, lightcone, Lorentz-Minkowski space
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2032