Hypersurface Family with a Common Isoasymptotic Curve-Reference-Cited by-同舟云学术

Hypersurface Family with a Common Isoasymptotic Curve

Published:2014-12-31 Issue: Volume:2014 Page:1-6
ISSN:2314-422X
Container-title:Geometry
language:en
Short-container-title:Geometry

Author:

Bayram Ergin¹^ORCID,Kasap Emin¹

Affiliation:

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

Abstract

We handle the problem of finding a hypersurface family from a given asymptotic curve in R4. 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.

Funder

The Scientific and Technological Research Council of Turkey

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/623408.pdf

Reference20 articles.

1. ASYMPTOTIC CURVES ON SURFACES IN ℝ5

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