arXiv subjects

Hakan Simsek

Publications and source records attributed to Hakan Simsek.

2 recordsLinked to original sources

arXiv2015

Similar and Self-similar Curves in Minkowski n-space

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.

math.DG↗

arXiv2015

The Geometric Invariants of Null Cartan Curves Under The Similarity Transformations

In this paper, we study the differential geometry of null Cartan curves under the similarity transformations in the Minkowski space-time. Besides, we extend the fundamental theorem for a null Cartan curve according to a similarity motion. We find the equations of all self-similar null curves which is given its shape Cartan curvatures.

math.GM↗