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Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space

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  • 53-Xx Differential Geometry
  • Mathematics


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.

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