Artículo
Keilhauer, G.G.R. "Tensor fields of type (0,2) on linear frame bundles and cotangent bundles" (2000) Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova. 103:51-64
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
To any (0,2)-tensor field on the linear frame bundle, respectively on the cotangent bundle, we associate a global matrix function when a linear connection or a Riemannian metric on the base manifold is given. Based on this fact, natural (0,2)-tensor fields on frame and cotangent bundles are defined and characterized by means of well known algebraic results. In the symmetric case, our classification agrees with the one given by Sekizawa and Kowalski-Sekizawa. However, we do not make use of the theory of differential invariants. © Rendiconti del Seminario Matematico della Università di Padova, 2000, tous droits réservés.
Registro:
| Documento: | Artículo |
| Título: | Tensor fields of type (0,2) on linear frame bundles and cotangent bundles |
| Autor: | Keilhauer, G.G.R. |
| Filiación: | Departamento de Matemática, Universidad de Buenos Aires, Pabellόn I Ciudad Universitaria, Buenos Aires, 1428, Argentina |
| Año: | 2000 |
| Volumen: | 103 |
| Página de inicio: | 51 |
| Página de fin: | 64 |
| Título revista: | Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova |
| Título revista abreviado: | Rend. Semin. Mat. Univ. Padova/Math. J. Univ. Padova |
| ISSN: | 00418994 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00418994_v103_n_p51_Keilhauer |
Referencias:
- Del, M., Calvo, C., Keilhauer, G.G., Tensor fields of type (0,2) on the tangent bundle of a Riemannian manifold (1998) Geom. Dedicata, 71, pp. 209-219
- Gromoll, D., Klingenberg, W., Meyer, W., Riemannsche Geometrie im Großen, Springer (1968) Lecture Notes in Maths, p. 55
- Kolář, I., Michor, P., Slovák, J., (1993) Natural Operations in Differential Geometry, , Springer-Verlag
- Kowalski, O., Sekizawa, M., Natural transformations of Riemannian metrics on manifolds to metrics on linear frame bundles, A classification (1986) Proc. Conf, , Differential Geometry and Its Applications, August 24-30, Brno, Czechoslovakia (edited by D. Krupka and A. 0160vec. A), pp. 149-178. J. E. Purkyn~ University, Brno (1987)
- Krupka, D., Janyška, J., Lectures on Differential Invariants (1990) Folia Fac. Sci. Nat. Univ, , Purkynianae Brunensis, Brno
- Sekizawa, M., Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification (1988) Mh. Math, 105, pp. 229-243
- Sekizawa, M., Natural transformactions of affine connections on manifolds to metrics on cotangent bundles (1987) Rendi. Cir. Mat. Palermo Serie, 2 (14), pp. 129-142
Citas:
---------- APA ----------
(2000) . Tensor fields of type (0,2) on linear frame bundles and cotangent bundles. Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova, 103, 51-64.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00418994_v103_n_p51_Keilhauer [ ]
---------- CHICAGO ----------
Keilhauer, G.G.R. "Tensor fields of type (0,2) on linear frame bundles and cotangent bundles" . Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova 103 (2000) : 51-64.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00418994_v103_n_p51_Keilhauer [ ]
---------- MLA ----------
Keilhauer, G.G.R. "Tensor fields of type (0,2) on linear frame bundles and cotangent bundles" . Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova, vol. 103, 2000, pp. 51-64.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00418994_v103_n_p51_Keilhauer [ ]
---------- VANCOUVER ----------
Keilhauer, G.G.R. Tensor fields of type (0,2) on linear frame bundles and cotangent bundles. Rend. Semin. Mat. Univ. Padova/Math. J. Univ. Padova. 2000;103:51-64.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00418994_v103_n_p51_Keilhauer [ ]
