A characterization of the projective transformation

作者：Alagoz Yasemin^*; Soyucok Ziya

来源：International Journal of Physical Sciences, 2010, 5(1): 1-5.

• Projective transformation
• hypersurfaces
• asymptotic directions

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.

• 出版日期2010-1