Darboux Rectifying curves on a smooth surface
Buddhadev Pal, Akhilesh Yadav
TL;DR
This paper studies Darboux rectifying curves on smooth surfaces in Euclidean space, focusing on their position vector components under surface isometries and conditions for conformal invariance.
Contribution
It provides new insights into the behavior of Darboux rectifying curves under isometries and establishes conditions for their conformal invariance on smooth surfaces.
Findings
Component of position vector analyzed under surface isometries
Sufficient condition for conformal invariance derived
Enhanced understanding of Darboux rectifying curves on surfaces
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Nonlinear Partial Differential Equations