A new kind of slant helix in Pseudo-Riemannian Manifolds

TL;DR

This paper introduces a new class of slant helix called f-eikonal V_{n}-slant helix in Pseudo-Riemannian manifolds, providing their definitions, properties, and characterizations based on harmonic curvature functions.

Contribution

It defines the f-eikonal V_{n}-slant helix and explores its properties and characterizations using harmonic curvature functions in Pseudo-Riemannian manifolds.

Findings

Defined f-eikonal V_{n}-slant helix in Pseudo-Riemannian manifolds

Established characterizations using harmonic curvature functions

Provided new insights into the geometry of slant helices

Abstract

In this paper, we define a new kind of slant helix called f-eikonal V_{n}-slant helix in Pseudo- Riemannian manifolds and give the definition of harmonic curvature functions related to the f-eikonal V_{n}-slant helix in Pseudo- Riemannian manifolds. Moreover, we give some characterizations of f-eikonal V_{n}-slant helix by making use of the harmonic curvature functions.