Hypersurface Family with a Common Isoasymptotic Curve. (31st December 2014)

• Record Type: Journal Article
• Authors: Bayram, Ergin; Kasap, Emin
• Other Names: Bracken Paul Academic Editor.
• Is Part Of: Geometry. Volume 2014(2014)
• Publication Date: 2014-12-31
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2014/623408
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : 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.