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Pseudo-Isotropic Centro-Affine Lorentzian Surfaces

Author

Listed:
  • Olivier Birembaux

    (LMI-Laboratoire de Mathématiques pour l’Ingénieur, Université Polytechnique Hauts-de-France, Campus du Mont Houy, CEDEX 9, 59313 Valenciennes, France)

Abstract

In this paper, we study centro-affine Lorentzian surfaces M 2 in ℝ 3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M 2 is pseudo-isotropic if and only if the Tchebychev form T = 0 . In that case, M 2 is a an equi-affine sphere. Next, we will get a complete classification of centro-affine Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.

Suggested Citation

  • Olivier Birembaux, 2020. "Pseudo-Isotropic Centro-Affine Lorentzian Surfaces," Mathematics, MDPI, vol. 8(8), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1284-:d:394143
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