An inequality between the parts into which a convex body is divided by a plane section
A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies...
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1983
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v32_n1_p124_Santalo http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
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paper:paper_0009725X_v32_n1_p124_Santalo2023-06-08T14:34:01Z An inequality between the parts into which a convex body is divided by a plane section A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies of the elliptic and hyperbolic spaces. © 1983, Springer. All rights reserved. 1983 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v32_n1_p124_Santalo http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies of the elliptic and hyperbolic spaces. © 1983, Springer. All rights reserved. |
title |
An inequality between the parts into which a convex body is divided by a plane section |
spellingShingle |
An inequality between the parts into which a convex body is divided by a plane section |
title_short |
An inequality between the parts into which a convex body is divided by a plane section |
title_full |
An inequality between the parts into which a convex body is divided by a plane section |
title_fullStr |
An inequality between the parts into which a convex body is divided by a plane section |
title_full_unstemmed |
An inequality between the parts into which a convex body is divided by a plane section |
title_sort |
inequality between the parts into which a convex body is divided by a plane section |
publishDate |
1983 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v32_n1_p124_Santalo http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
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1768541545917579264 |