Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 5

A characterization of the projective transformation in Minkowski 3-space

Pages
896–904
DOI
—

Abstract

We consider transformations preserving asymptotic directions of surfaces in Minkowski 3-space and show that a transformation preserves the asymptotic directions of a surface if only if it is the projective one. Therefore, we obtain a characterization of the projective transformation.

Özet

We consider transformations preserving asymptotic directions of surfaces in Minkowski 3-space and show that a transformation preserves the asymptotic directions of a surface if only if it is the projective one. Therefore, we obtain a characterization of the projective transformation.

Keywords: Minkowski space, asymptotic direction, projective transformation