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);
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.
|Uncontrolled Keywords:||Legendrian dualities, Lorentz-Minkowski space, Pseudo-spheres|
|Subjects:||53-xx DIFFERENTIAL GEOMETRY|