Q−spherical surfaces in Euclidean space
Filomat, Tome 37 (2023) no. 1, p. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we define q-spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a q−fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surfaces, with one and two n−fold points, are discussed in detail. We study their properties, give their algebraic equations and visualize them with the program Mathematica.
Classification :
51N20, 51M15
Keywords: q−spherical surface, Absolute conic, Singular point
Keywords: q−spherical surface, Absolute conic, Singular point
Sonja Gorjanc; Ema Jurkin. Q−spherical surfaces in Euclidean space. Filomat, Tome 37 (2023) no. 1, p. 1 . doi: 10.2298/FIL2301001G
@article{10_2298_FIL2301001G,
author = {Sonja Gorjanc and Ema Jurkin},
title = {Q\ensuremath{-}spherical surfaces in {Euclidean} space},
journal = {Filomat},
pages = {1 },
year = {2023},
volume = {37},
number = {1},
doi = {10.2298/FIL2301001G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301001G/}
}
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