A characterization of the projective transformation


ALAGÖZ Y. , Soyuçok Z.

INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES, cilt.5, sa.1, ss.1-5, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Konu: 1
  • Basım Tarihi: 2010
  • Dergi Adı: INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.1-5

Özet

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.