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February 9, 2026Filomat0 citationsOpen Access

Slant helices along an isotropic Riemannian maps

AÇAbdussamet Çalışkan

Key Points

  • To define slant helices in the context of isotropic Riemannian maps and establish the conditions for their existence.
  • Introduced the concept of slant helix along isotropic Riemannian maps.
  • Derived necessary conditions using differential equations.
  • Characterized transportation of slant helices between manifolds.
  • Derived conditions for a curve to qualify as a slant helix in the Riemannian map context.
  • Identified specific characteristics for slant helices within ambient spaces.
  • Established connections between slant helices and transportation in total manifold.

Abstract

This paper aims to introduce the notion of slant helix along an isotropic Riemannian map. The necessary conditions for a curve along an isotropic Riemannian maps to be a slant helix are obtained in terms of differential equations. In addition, certain conditions were found for the slant helix along an isotropic Riemannian map to be a slant helix in the ambient space. The characterizations are obtained for the transportation of slant helices and helices on the total manifold to the target manifold along a Riemannian map (or vice versa).

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Cite This Study

Abdussamet Çalışkan (2025) studied this question.

synapsesocial.com/papers/698979a6f0ec2af6756e7803https://doi.org/10.2298/fil2516661c
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