Artículo
Gysin, L.M. "Inequalities for the product of the volumes of a partition determined in a convex body by a surface" (1986) Rendiconti del Circolo Matematico di Palermo. 35(3):420-428
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Inequalities for the product of the volumes of a partition determined in a convex body by a surface |
| Autor: | Gysin, L.M. |
| Filiación: | Department of Mathematics Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Capital Federal, 1428, Argentina |
| Año: | 1986 |
| Volumen: | 35 |
| Número: | 3 |
| Página de inicio: | 420 |
| Página de fin: | 428 |
| DOI: | http://dx.doi.org/10.1007/BF02843909 |
| Título revista: | Rendiconti del Circolo Matematico di Palermo |
| Título revista abreviado: | Rend. Circ. Mat. Palermo |
| ISSN: | 0009725X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v35_n3_p420_Gysin |
Referencias:
- Bokowski, J., Ungleichungen für den Inhalt von Trennflächen (1980) Arch. Math. (Basel), 34, pp. 84-89
- Santaló, L.A., An inequality between the parts into which a convex body is divided by a plane section (1983) Rendiconti del Circolo Matematico di Palermo, 32, pp. 124-130
- Santaló, L.A., (1976) Integral geometry and geometric probability, , Encyclopedia of Math. and Applications, Addison-Wesley, Reading
Citas:
---------- APA ----------
(1986) . Inequalities for the product of the volumes of a partition determined in a convex body by a surface. Rendiconti del Circolo Matematico di Palermo, 35(3), 420-428.http://dx.doi.org/10.1007/BF02843909
---------- CHICAGO ----------
Gysin, L.M. "Inequalities for the product of the volumes of a partition determined in a convex body by a surface" . Rendiconti del Circolo Matematico di Palermo 35, no. 3 (1986) : 420-428.http://dx.doi.org/10.1007/BF02843909
---------- MLA ----------
Gysin, L.M. "Inequalities for the product of the volumes of a partition determined in a convex body by a surface" . Rendiconti del Circolo Matematico di Palermo, vol. 35, no. 3, 1986, pp. 420-428.http://dx.doi.org/10.1007/BF02843909
---------- VANCOUVER ----------
Gysin, L.M. Inequalities for the product of the volumes of a partition determined in a convex body by a surface. Rend. Circ. Mat. Palermo. 1986;35(3):420-428.http://dx.doi.org/10.1007/BF02843909
