2021/04/03 by Buddhadev Pal, Pal, Buddhadev, Akhılesh Yadav +1
Mathematics · #53A04 #53A05 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2104.01338
openalex publication_date 2021/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main aim of this paper is to investigate Darboux rectifying curves on a smooth surface immersed in the Euclidean space. First, we discuss the component of the position vector of a Darboux rectifying curve on a smooth immersed surface under the isometry of surfaces. Next we find a sufficient condition for the conformal invariance of Darboux rectifying curve.