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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0009725X_v35_n3_p420_Gysin |
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todo:paper_0009725X_v35_n3_p420_Gysin2023-10-03T14:08:40Z Inequalities for the product of the volumes of a partition determined in a convex body by a surface Gysin, L.M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0009725X_v35_n3_p420_Gysin |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Gysin, L.M. |
| spellingShingle |
Gysin, L.M. Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| author_facet |
Gysin, L.M. |
| author_sort |
Gysin, L.M. |
| title |
Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| title_short |
Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| title_full |
Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| title_fullStr |
Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| title_full_unstemmed |
Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| title_sort |
inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| url |
http://hdl.handle.net/20.500.12110/paper_0009725X_v35_n3_p420_Gysin |
| work_keys_str_mv |
AT gysinlm inequalitiesfortheproductofthevolumesofapartitiondeterminedinaconvexbodybyasurface |
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1807322628753457152 |