On a New Type Mannheim Curve

TL;DR

This paper introduces new types of Mannheim curves, characterizes their properties, explores their relation to spherical curves, and provides an example using Salkowski's method.

Contribution

It defines and characterizes new Mannheim curve types and examines their geometric relationships, including an explicit example.

Findings

Introduction of V-Mannheim and V Mannheim partner curves

Characterization of these new curves

Example provided using Salkowski method

Abstract

In this paper, we de\"One a new type curve as V-Mannheim curve, V Mannheim partner curve and generating curve of Mannheim curve. We give characterization of these curve. In addition, we study a relation between Mannheim curve and spherical curve. Eventually, with Salkowski method, we give an example of the Mannheim curve.