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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Publicado: 1983
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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id paper:paper_0009725X_v32_n1_p124_Santalo
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spelling 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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