Similar and Self-similar Curves in Minkowski n-space
arXiv:1408.1553
Abstract
In this paper, we investigate the similarity transformations in the Minkowski-n space. We study the geometric invariants of non-null curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion. We determine all non-null self-similar curves in the Minkowski n-space.
19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1407.4900