Pseudo-isotropic Lorentzian Centroaffine Hypersurfaces 1

Abstract

In this paper, we classify pseudo-isotropic Lorentzian centroaffine hypersurfaces whose difference tensor satisfies the condition K 2 = 0. We prove that they have a structure of warped product I × f N n−1 manifold and then express their immersions in R n+1 (n ≥ 3).