Intersections of Rotational Quadratic Hypersurfaces with a Common Focus
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
Page range: 93 - 100
Submitted on: Oct 25, 2024
Accepted on: Jan 28, 2025
Published on: Sep 12, 2025
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2025 Peter Sarkoci, Mariana Sarkociová Reměsíková, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.