Generalized Mannheim Curves in Minkowski space-time $E_1^4$

TL;DR

This paper introduces the concept of generalized spacelike Mannheim curves in Minkowski space-time $E_1^4$, providing necessary and sufficient conditions and characterizations for these curves.

Contribution

It defines generalized spacelike Mannheim curves in Minkowski space-time and derives their fundamental conditions and characterizations, expanding the geometric understanding of such curves.

Findings

Necessary and sufficient conditions for generalized spacelike Mannheim curves.

Characterizations of Mannheim curves in Minkowski space-time.

Extension of classical curve theory to Minkowski 4-space.

Abstract

In this paper, the definition of generalized spacelike Mannheim curve in Minkowski space-time $E_1^4$ is given. The necessary and sufficient conditions for the generalized spacelike Mannheim curve are obtained. Also, some characterizations of Mannheim curve are given.