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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| Sumario: | 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. |
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