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- W4296121018 abstract "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." @default.
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- W4296121018 date "2022-09-15" @default.
- W4296121018 modified "2023-10-18" @default.
- W4296121018 title "Surfaces of Osculating Circles in Euclidean Space" @default.
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- W4296121018 doi "https://doi.org/10.1007/s10013-022-00585-0" @default.
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