SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

Abstract

Abstract. In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of E n 1 . We determine the parametrizations of non-null self-similar curves in E n 1 .