INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES, cilt.5, sa.1, ss.1-5, 2010 (SCI-Expanded)
We consider the transformations preserving the asymptotic directions of hypersurfaces in n-dimensional Euclidean space and we obtain the following characterization of the projective transformation: In n-dimensional Euclidean space, a transformation preserves the asymptotic directions of hypersurfaces if and only if it is the projective transformation.