Artículo
Birman, G.S. "Crofton's and poincaré's formulas in the Lorentzian plane" (1984) Geometriae Dedicata. 15(4):399-411
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Abstract:
The purpose of the present paper is to compare some of the formulas of integral geometry in the Euclidean plane with those for the Lorentzian plane. In particular, we find that the so-called Crofton's formula and Poincaré's formula hold only under the restrictions expressed in Theorems 1 and 2, respectively. In order to arrive at these results, we find several different expressions for the density of geodesics and kinematic density. © 1984 D. Reidel Publishing Company.
Registro:
| Documento: | Artículo |
| Título: | Crofton's and poincaré's formulas in the Lorentzian plane |
| Autor: | Birman, G.S. |
| Filiación: | Dept de Matematica, Fac. de Cs. Exactas y Naturales, Univ. de Buenos Aires, Buenos Aires, Argentina |
| Año: | 1984 |
| Volumen: | 15 |
| Número: | 4 |
| Página de inicio: | 399 |
| Página de fin: | 411 |
| DOI: | http://dx.doi.org/10.1007/BF00211708 |
| Título revista: | Geometriae Dedicata |
| Título revista abreviado: | Geom Dedicata |
| ISSN: | 00465755 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v15_n4_p399_Birman |
Referencias:
- Birman, G. and Nomizu, K.: ‘Trigonometry in the Lorentzian Geometry’. Am. Math. Monthly. (to appear); Santalo, L.A.: ‘Integral Geometry and Geometric Probability’. Encyclopedia of Mathematics and its Applications, vol. 1. Addison-Wesley, 1977
Citas:
---------- APA ----------
(1984) . Crofton's and poincaré's formulas in the Lorentzian plane. Geometriae Dedicata, 15(4), 399-411.http://dx.doi.org/10.1007/BF00211708
---------- CHICAGO ----------
Birman, G.S. "Crofton's and poincaré's formulas in the Lorentzian plane" . Geometriae Dedicata 15, no. 4 (1984) : 399-411.http://dx.doi.org/10.1007/BF00211708
---------- MLA ----------
Birman, G.S. "Crofton's and poincaré's formulas in the Lorentzian plane" . Geometriae Dedicata, vol. 15, no. 4, 1984, pp. 399-411.http://dx.doi.org/10.1007/BF00211708
---------- VANCOUVER ----------
Birman, G.S. Crofton's and poincaré's formulas in the Lorentzian plane. Geom Dedicata. 1984;15(4):399-411.http://dx.doi.org/10.1007/BF00211708
