Slant Geometry of Spacelike Hypersurfaces in Hyperbolic space and de Sitter space
Preprint Series # 962 Asayama, Mikuri and Izumiya, Shyuichi and Tamaoki, Aiko and Yildirim, Handan Slant Geometry of Spacelike Hypersurfaces in Hyperbolic space and de Sitter space. (11 May 2010); AbstractWe consider a oneparameter family of new extrinsic differential geometries
on hypersurfaces in Hyperbolic space. Recently, the second author and his collaborators have
constructed a new geometry which is called horospherical geometry on Hyperbolic space.
There is another geometry which is the famous GaussBoryayRobechevski geometry (i.e., the
hyperbolic geometry) on Hyperbolic space. The slant geometry is a oneparameter family of geometries which
connect these two geometries. Moreover, we construct a oneparameter family of geometries on
spacelike hypersurfaces in de Sitter space. Item Type:  Preprint 

Uncontrolled Keywords:  Legendrian dualities, spacelike hypersurfaces, Hyperbolic space, de Sitter space,
LorentzMinkowski space. 

Subjects:  53xx DIFFERENTIAL GEOMETRY 

ID Code:  2054 

