Slant Geometry of Spacelike Hypersurfaces in Hyperbolic space and de Sitter space


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84109

Title:	Slant Geometry of Spacelike Hypersurfaces in Hyperbolic space and de Sitter space
Authors:	Asayama, Mikuri Browse this author
	Izumiya, Shyuichi Browse this author
	Tamaoki, Aiko Browse this author
	Yildirim, Handan Browse this author
Keywords:	Legendrian dualities
	spacelike hypersurfaces
	Hyperbolic space
	de Sitter space
	Lorentz-Minkowski space
Issue Date:	11-May-2010
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	962
Start Page:	1
End Page:	26
Abstract:	We consider a one-parameter 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 Gauss-Boryay-Robechevski geometry (i.e., the hyperbolic geometry) on Hyperbolic space. The slant geometry is a one-parameter family of geometries which connect these two geometries. Moreover, we construct a oneparameter family of geometries on spacelike hypersurfaces in de Sitter space.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69769
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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