학술저널
VOLUME PROPERTIES AND A CHARACTERIZATION OF ELLIPTIC PARABOLOIDS
VOLUME PROPERTIES AND A CHARACTERIZATION OF ELLIPTIC PARABOLOIDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 36, No. 2
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2023.05125 - 133 (9 pages)
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DOI : 10.14403/jcms.2023.36.2.125
- 2

We establish a characterization theorem of elliptic paraboloids in the (n+1)-dimensional Euclidean space En+1 with extrinsic properties such as the (n+1)-dimensional volumes of regions enclosed by the hyperplanes and hypersurfaces, and the n-dimensional areas of projections of the sections of hypersurfaces cut off by hyperplanes.
1. Introduction
2. Preliminaries
3. Proof of Theorem 4
References
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