On Closed Space Curves In Minkowski Space-Time

TL;DR

This paper generalizes the criteria for closed space curves from 3-dimensional to n-dimensional Minkowski space-time and applies this to curves on surfaces within this geometric framework.

Contribution

It extends existing criteria for closed curves to higher-dimensional Minkowski space-time and explores their application to curves on surfaces.

Findings

Generalized closure criteria for n-space curves in Minkowski space-time.

Applied the criteria to curves lying on oriented surfaces.

Provided theoretical framework for future geometric analysis.

Abstract

In this paper, we give the generalization of the criterion for a 3-space curve to be closed given by [3] to an n-space curve in Minkowski space-time E_v^n. Furthermore, we apply this criterion for a curve lying on an oriented surface in the Minkowski space E_v^n as an application.