Український математичний конгрес - 2009

Yasemin Alagoz, Ziya Soyucok (Yildiz technical university, Istanbul, Turkey)

A New property of the Projective Transformation

We consider the transformations that transform the asymptotic directions of a hypersurface to the asymptotic directions of other hypersurface in n-dimensional Euclidean space. Firstly, we obtain a system of equations which must be satisfied by transformations. After that we show that the projective transformation preserves the asymptotic directions in n-dimensional Euclidean space.