On r-Helix Hypersurfaces
Evren Ziplar, Ali \c{S}enol, Yusuf Yayli
TL;DR
This paper explores the properties of strong r-helix hypersurfaces and their associated curves, examining their geometric relations and the impact of Gauss transformations in Euclidean n-space.
Contribution
It introduces the concept of strong r-helix hypersurfaces and investigates their geometric properties and relationships with Gauss transformations.
Findings
Characterization of strong r-helix hypersurfaces
Analysis of special curves on these hypersurfaces
Relations between hypersurfaces and Gauss transformations
Abstract
In this paper, we study strong r-helix hypersurfaces and the special curves on these surfaces. Moreover, we investigated the relations between strong r-helix hypersurfaces and the Gauss transformations of these surfaces in Euclidean n-space.
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Taxonomy
TopicsMathematics and Applications · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory