A note on inextensible flows of partially and pseudo null curves in E_1^4

TL;DR

This paper investigates the conditions under which partially null and pseudo null curves in four-dimensional Minkowski space can undergo inextensible flows, providing necessary and sufficient criteria for such evolutions.

Contribution

It introduces the first comprehensive conditions for inextensible flows of these specific curves in E_1^4, expanding the understanding of their geometric behavior.

Findings

Derived necessary and sufficient conditions for inextensible flows.

Characterized the behavior of partially null and pseudo null curves.

Enhanced the theoretical framework for curve flows in Minkowski space.

Abstract

In this paper, we study inextensible flows of partially null and pseudo null curves in E_1^4. We give neccessary and sufficent conditions for inextensible flows of partially null and pseudo null curves in E_1^4