Sonja Gorjanc, Ema Jurkin
Published 2020-06-26Version 1
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 {\it Mathematica}.
Bi-Lipschitz Embeddability of the Grushin Plane into Euclidean Space
Shadow geometry at singular points of CAT(k) spaces
On compact packings of Euclidean space with spheres of finitely many sizes
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