Slant geometry of spacelike hypersurfaces in the lightcone

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概要

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• In this paper, we consider one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in the lightcone. These geometries are constructed by applying two of one-parameter families of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski space. These Legendrian dualities have been recently given as a part of extensions of the mandala of Legendrian dualities in the previous research of the authors.

著者

• Izumiya Shyuichi

  Department Of Mathematics Faculty Of Science Hokkaido University

• Yıldırım Handan

  Department of Mathematics, Faculty of Science, Istanbul University

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