Yazar "Lopez, Rafael" seçeneğine göre listele

Listeleniyor 1 - 1 / 1
  • [ X ]
    Öğe
    Surfaces of Osculating Circles in Euclidean Space
    (Springer Singapore Pte Ltd, 2024) Lopez, Rafael; Camci, Cetin; Ucum, Ali; Ilarslan, Kazim
    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.