The Geometric Invariants of Null Cartan Curves Under The Similarity Transformations

2015/04/07 by Hakan Şimşek, Simsek, Hakan, Mustafa Özdemir +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Advanced Differential Geometry Research #Advanced Mathematical Theories and Applications

paper · pdf · doi:10.48550/arxiv.1505.04716

Abstract

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.

Citations

• Fractal Geometry: Mathematical Foundations and Applications.
• <i>The Fractal Geometry of Nature</i>

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