Hypersurface family with a common isoasymptotic curve
Differential Geometry
2015-01-06 v1
Abstract
In the present paper, we handle the problem of finding a hypersurface family from a given asymptotic curve in R^4. 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.
Keywords
Cite
@article{arxiv.1408.6386,
title = {Hypersurface family with a common isoasymptotic curve},
author = {Ergin Bayram and Emin Kasap},
journal= {arXiv preprint arXiv:1408.6386},
year = {2015}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:1305.0411