Intersections of Rotational Quadratic Hypersurfaces with a Common Focus

Sarkoci, Peter; Reměsíková, Mariana Sarkociová

doi:10.2478/tmmp-2025-0017

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.

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Intersections of Rotational Quadratic Hypersurfaces with a Common Focus

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