TL;DR
This paper characterizes convex quadric surfaces in n-dimensional space as those with quadric sections by a continuous family of hyperplanes, providing a geometric description of these surfaces.
Contribution
It offers a new characterization of convex quadric surfaces based on their sections by hyperplanes, extending understanding in higher dimensions.
Findings
Convex quadric surfaces are characterized by their hyperplane sections.
The paper provides a geometric description of convex quadric surfaces in n dimensions.
It establishes a continuous family of hyperplanes as a key property.
Abstract
We describe convex quadric surfaces in n dimensions and characterize them as convex surfaces with quadric sections by a continuous family of hyperplanes.
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Taxonomy
TopicsPoint processes and geometric inequalities · Algebraic Geometry and Number Theory · Limits and Structures in Graph Theory