Pseudo-Isotropic Centro-Affine Lorentzian Surfaces

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

Mathematics, 2020, vol. 8, issue 8, 1-12

Abstract: In this paper, we study centro-affine Lorentzian surfaces M 2 in ? 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.

Keywords: centro-affine submanifold; isotropic submanifold; Lorentzian submanifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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