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Intersections of Rotational Quadratic Hypersurfaces with a Common Focus

Year: 2025
Type: article
Abstract: This paper deals with rotational quadratic hypersurfaces in an n -dimensional Euclidean space. Namely, we explore some basic properties of the intersection of two rotational quadratic hypersurfaces that have a common focus, but are not necessarily confocal. We prove that any such intersection lies in at most two hyperplanes, and we specify the maximum number of its connected components.
Language: English
Open Access status: diamond
OpenAlex ID: W4414314465
FWCI:
Cites: 9
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