Inequalities for the product of the volumes of a partition determined in a convex body by a surface
A generalization is given of the work of J. Bokowski [1] referring to the product of the volumes of the two parts into which a convex body is divided by a plane. The proof uses formulas of Integral Geometry and a conjecture of L. A. Santaló [2], and holds for the two parts determined by any (n-1)-di...
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1986
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v35_n3_p420_Gysin http://hdl.handle.net/20.500.12110/paper_0009725X_v35_n3_p420_Gysin |
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| Sumario: | A generalization is given of the work of J. Bokowski [1] referring to the product of the volumes of the two parts into which a convex body is divided by a plane. The proof uses formulas of Integral Geometry and a conjecture of L. A. Santaló [2], and holds for the two parts determined by any (n-1)-dimensional surface in the euclidean n-space and for dimensions n=2, 3 in the hyperbolic space. © 1986 Springer. |
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