Artículo
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(1):124-130
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | An inequality between the parts into which a convex body is divided by a plane section |
| Autor: | Santaló, L.A. |
| Filiación: | Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Argentina |
| Año: | 1983 |
| Volumen: | 32 |
| Número: | 1 |
| Página de inicio: | 124 |
| Página de fin: | 130 |
| DOI: | http://dx.doi.org/10.1007/BF02851108 |
| 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_v32_n1_p124_Santalo |
Referencias:
- Bokowski, J., Sperner, E., Zerlegung konvexer Körper durch minimale Trennflächen (1979) J. Reine Angew. Math., 311-312, pp. 80-100
- Bokowski, J., Ungleichungen für den Inhalt von Trennflächen (1980) Arch. Math. (Basel), 34, pp. 84-89
- Santalò, L.A., (1976) Integral Geometry and Geometric Probability, , Encyclopedia of Math. and Applications, Addison-Wesley, Reading
Citas:
---------- APA ----------
(1983) . An inequality between the parts into which a convex body is divided by a plane section. Rendiconti del Circolo Matematico di Palermo, 32(1), 124-130.http://dx.doi.org/10.1007/BF02851108
---------- CHICAGO ----------
Santaló, L.A. "An inequality between the parts into which a convex body is divided by a plane section" . Rendiconti del Circolo Matematico di Palermo 32, no. 1 (1983) : 124-130.http://dx.doi.org/10.1007/BF02851108
---------- MLA ----------
Santaló, L.A. "An inequality between the parts into which a convex body is divided by a plane section" . Rendiconti del Circolo Matematico di Palermo, vol. 32, no. 1, 1983, pp. 124-130.http://dx.doi.org/10.1007/BF02851108
---------- VANCOUVER ----------
Santaló, L.A. An inequality between the parts into which a convex body is divided by a plane section. Rend. Circ. Mat. Palermo. 1983;32(1):124-130.http://dx.doi.org/10.1007/BF02851108
