Curves of Constant Breadth According to Darboux Frame in a Strict Walker 3-Manifold

TL;DR

This paper explores the differential geometry of constant breadth curves based on Darboux frames within a strict Walker 3-manifold, focusing on timelike surfaces and their properties.

Contribution

It introduces a study of constant breadth curves using Darboux frames specifically in the context of strict Walker 3-manifolds, a novel geometric setting.

Findings

Characterization of constant breadth curves in Walker 3-manifolds

Conditions for curves to have constant breadth according to Darboux frame

Insights into the geometry of timelike surfaces in this context

Abstract

In this paper, we investigate the differential geometry properties of curves of constant breadth according to Darboux frame in a given strict Walker 3-manifold. The considered curves are lying on a timelike surface in the Walker 3-manifold.