A characterization of the projective transformation
INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES, vol.5, no.1, pp.1-5, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 5 Issue: 1
- Publication Date: 2010
- Journal Name: INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1-5
- Yıldız Technical University Affiliated: Yes
Abstract
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.