Normal and Spherical Curves in Dual Space

TL;DR

This paper explores the properties of normal and spherical curves within dual space, providing definitions, characterizations, and demonstrating that all normal curves are also spherical in D^3.

Contribution

It introduces new definitions and characterizations of normal and spherical curves in dual space, establishing a link between the two types of curves.

Findings

Normal curves are also spherical in D^3

Provides new characterizations of curves in dual space

Enhances understanding of dual space geometry

Abstract

In this paper, we give definitions and characterizations of normal and spherical curves in the dual space. We show that normal curves are also spherical curves in D^3.