On the Transformations Preserving Asymptotic Directions of Hypersurfaces in the Euclidean Space

Authors

  • Yasemin Alagoz
  • Ziya Soyucok

Keywords:

Preserving, hypersurfaces, asymptotic directions.

Abstract

We consider the transformations preserving symptotic directions of hypersurfaces in n-dimensional Euclidean space and we obtain a system of equations which must be satisfied by transformations.

Downloads

Published

2009-10-24

Issue

Vol. 2 No. 4: (October 2009)

Section

Differential Geometry

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

On the Transformations Preserving Asymptotic Directions of Hypersurfaces in the Euclidean Space. (2009). European Journal of Pure and Applied Mathematics, 2(4), 564-573. https://www.ejpam.com/index.php/ejpam/article/view/459