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

• 作者: A.A.Abdel-Salam H.S.Abdel-Aziz M.Khalifa Saad
• 来源期刊: 计算机、材料和连续体(英文)
• 学科: 数学
• 关键词: Pseudo-spherical evolutes evolute CURVES HYPERBOLIC 3-space
• 年，卷（期）: 2018,（12）
• 页码范围: 389-415
• 页数: 27页
• 分类号: O17

摘要

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.