Table of Contents
Volume 2014, Article ID 623408, 6 pages
Research Article

Hypersurface Family with a Common Isoasymptotic Curve

Mathematics Department, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139 Samsun, Turkey

Received 27 August 2014; Accepted 9 December 2014; Published 31 December 2014

Academic Editor: Paul Bracken

Copyright © 2014 Ergin Bayram and Emin Kasap. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We handle the problem of finding a hypersurface family from a given asymptotic curve in . Using the Frenet frame of the given asymptotic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be asymptotic. We illustrate this method by presenting some examples.