Similar and Self-similar Curves in Minkowski n-space
Differential Geometry
2015-04-08 v2
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.
Keywords
Cite
@article{arxiv.1408.1553,
title = {Similar and Self-similar Curves in Minkowski n-space},
author = {Hakan Simsek and Mustafa Özdemir},
journal= {arXiv preprint arXiv:1408.1553},
year = {2015}
}
Comments
19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1407.4900