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Some Geometric Invariants of Pseudo-Spherical Evolutes in the Hyperbolic 3-Space

H. S. Abdel-Aziz¹, M. Khalifa Saad^1,2,*, A. A. Abdel-Salam¹

CMC-Computers, Materials & Continua, Vol.57, No.3, pp. 389-415, 2018, DOI:10.32604/cmc.2018.02149

Abstract In this paper, we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space. We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group. Besides, we defray with illustration some computational examples in support our main results. More >

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