Some characterizations of spheres and elliptic paraboloids

DOI10.1016/J.LAA.2012.02.013zbMath1248.53006OpenAlexW2085892897WikidataQ112882192 ScholiaQ112882192MaRDI QIDQ417567

Young Ho Kim, Dongsoo S. Kim

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.013

zbMATH Keywords

integral transformationco-area formulatheorem of Archimedes

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05)

Related Items (12)

Unnamed Item ⋮ Area properties associated with a convex plane curve ⋮ Some characterizations of spheres and elliptic paraboloids. II ⋮ Volume properties and some characterizations of ellipsoids in En+1 ⋮ Unnamed Item ⋮ The Archimedean projection property ⋮ Unnamed Item ⋮ On standard imbeddings of hyperbolic spaces in the Minkowski space ⋮ Various centroids and some characterizations of catenary rotation hypersurfaces ⋮ Ellipsoids and elliptic hyperboloids in the Euclidean space \(\mathbb{E}^{n + 1}\) ⋮ Unnamed Item ⋮ Characterizations of the Euclidean Ball by Intersections with Planes and Slabs

Cites Work

• On the improper convex affine hyperspheres
• Umkehrung eines Satzes von Archimedes über die Kugel
• Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
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