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On projective group properties of the $6D$ pseudo-Riemannian space

Research paper by Zolfira Zakirova

Indexed on: 24 Jun '05Published on: 24 Jun '05Published in: Mathematics - Differential Geometry



Abstract

We study the six-dimensional pseudo-Riemannian spaces with two time-like coordinates that admit non-homothetic infinitesimal projective transformations. The metrics are manifestly obtained and the projective group properties are determined. We also find a generic defining of projective motion in the 6-dimensional rigid h-space.