Singular Surfaces of Osculating Circles in Three-Dimensional Euclidean Space

In this paper, we study the surfaces of osculating circles, which are the sets of all osculating circles at all points of regular curves. Since the surfaces of osculating circles may be singular, it is necessary to investigate the singular points of these surfaces. However, traditional methods and t...

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Bibliographic Details
Main Authors: Kemeng Liu, Zewen Li, Donghe Pei
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/17/3714