2024-03-28T09:08:38Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697552022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski spaceIzumiya, ShyuichiYildirim, HandanLegendrian dualitiesLorentz-Minkowski spacePseudo-spheres410In 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69755info:doi/10.14943/84095https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69755/1/pre948.pdfHokkaido University Preprint Series in Mathematics9481132009-10-15engpublisher