Almost contact curves in trans-Sasakian 3-manifolds

TL;DR

This paper investigates the curvature and torsion properties of almost contact curves within trans-Sasakian 3-manifolds, establishing conditions under which Frenet curves qualify as almost contact curves.

Contribution

It provides new criteria for Frenet curves to be classified as almost contact curves in trans-Sasakian 3-manifolds, expanding understanding of their geometric structure.

Findings

Derived conditions for Frenet curves to be almost contact curves

Analyzed curvature and torsion of these curves

Enhanced geometric characterization of trans-Sasakian manifolds

Abstract

This paper is devoted to the study of curvature and torsion of almost contact curves in trans-Sasakian 3-Manifolds. The conditions for the frenet curves to be almost contact curves in trans-Sasakian 3-manifolds have been obtained.