2024-03-28T09:55:29Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697692022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Slant Geometry of Spacelike Hypersurfaces in Hyperbolic space and de Sitter spaceAsayama, MikuriIzumiya, ShyuichiTamaoki, AikoYildirim, HandanLegendrian dualitiesspacelike hypersurfacesHyperbolic spacede Sitter spaceLorentz-Minkowski space410We 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69769info:doi/10.14943/84109https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69769/1/pre962.pdfHokkaido University Preprint Series in Mathematics9621262010-05-11engpublisher