Full Length Research Paper
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.
Key words: Projective transformation, hypersurfaces, asymptotic directions.
Copyright © 2025 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0
