Surfaces of Osculating Circles in Euclidean Space
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Singapore Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to define a new class of surfaces in Euclidean space using the concept of osculating circle. Given a regular curve C, the surface of osculating circles generated by C is the set of all osculating circles at all points of C. It is proved that these surfaces contain a one-parametric family of planar lines of curvature. A classification of surfaces of osculating circles is given in the family of canal surfaces, Weingarten surfaces, surfaces with constant Gauss curvature and surfaces with constant mean curvature.
Açıklama
Anahtar Kelimeler
Osculating circle; Surface of osculating circles; Canal surface; Weingarten surface
Kaynak
Vietnam Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
52
Sayı
1
