Conformal image of an osculating curve on a smooth immersed surface

JOURNAL OF GEOMETRY AND PHYSICS

卷:151

Article

Shaikh, Absos Ali¹  Lone, Mohamd Saleem²  Ghosh, Pinaki Ranjan¹ 

[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

[2] Tata Inst Fundamental Res, Int Ctr Theoret Sci, Bengaluru 560089, India

关键词: Osculating curve;    Conformal map;    Homothetic map;    Normal curvature;    Geodesic curvature;   

DOI  :  10.1016/j.geomphys.2020.103625

来源: Elsevier

【 摘 要 】

The main intention of the paper is to investigate an osculating curve under the conformal map. We obtain a sufficient condition for the conformal invariance of an osculating curve. We also find an equivalent system of a geodesic curve under the conformal transformation (motion) and show its invariance under isometry and homothetic motion. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free