Artículo
Calvo, M.D.C.; Keilhauer, G.G.R. "Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold" (1998) Geometriae Dedicata. 71(2):209-219
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 tangent bundle of a Riemannian manifold, we associate a global matrix function. Based on this fact, natural tensor fields are defined and characterized, essentially by means of well-known algebraic results. In the symmetric case, this classification coincides with the one given by Kowalski-Sekizawa; in the skew-symmetric one, it does with that obtained by Janyška.
Registro:
| Documento: | Artículo |
| Título: | Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold |
| Autor: | Calvo, M.D.C.; Keilhauer, G.G.R. |
| Filiación: | Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| Palabras clave: | Connection map; Tangent bundle; Tensor field |
| Año: | 1998 |
| Volumen: | 71 |
| Número: | 2 |
| Página de inicio: | 209 |
| Página de fin: | 219 |
| DOI: | http://dx.doi.org/10.1023/A:1005084210109 |
| Título revista: | Geometriae Dedicata |
| Título revista abreviado: | Geom. Dedic. |
| ISSN: | 00465755 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v71_n2_p209_Calvo |
Referencias:
- Gromoll, D., Klingenberg, W., Meyer, W., (1968) Riemannsche Geometrie im Großen, , Lecture Notes in Math. 55, Springer, New York
- Janyška, J., Natural 2-forms on the tangent bundle of a Riemannian manifold (1994) Rend. Cir. Mat. Palermo (2). Suppl., 32, pp. 165-174
- Kolář, I., Michor, P., Slovák, J., (1993) Natural Operations in Differential Geometry, , Springer-Verlag, New York
- Kowalski, O., Sekizawa, M., Natural transformations of Riemannian metrics on manifolds to metrics on tangent bundles - A classification (1988) Bull. Tokyo Gakugei Univ. (4), 40, pp. 1-29
- Krupka, D., Elementary theory of differential invariants (1978) Arch. Math. (Brno), 4, pp. 207-214
- Krupka, D., (1979) Differential Invariants, , Lecture Notes, Faculty of Science, Purkyně University, Brno
- Krupka, D., Janyška, J., (1990) Lectures on Differential Invariants, , Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno
- Krupka, D., Mikolášová, V., On the uniqueness of some differential invariants: D, [,] , ∇ (1984) Czechoslovak Math. J., 34, pp. 588-597
- Musso, E., Tricerri, F., Riemannian metrics on tangent bundles (1988) Ann. Mat. Pura Appl. (4), 150, pp. 1-19
Citas:
---------- APA ----------
Calvo, M.D.C. & Keilhauer, G.G.R. (1998) . Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold. Geometriae Dedicata, 71(2), 209-219.http://dx.doi.org/10.1023/A:1005084210109
---------- CHICAGO ----------
Calvo, M.D.C., Keilhauer, G.G.R. "Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold" . Geometriae Dedicata 71, no. 2 (1998) : 209-219.http://dx.doi.org/10.1023/A:1005084210109
---------- MLA ----------
Calvo, M.D.C., Keilhauer, G.G.R. "Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold" . Geometriae Dedicata, vol. 71, no. 2, 1998, pp. 209-219.http://dx.doi.org/10.1023/A:1005084210109
---------- VANCOUVER ----------
Calvo, M.D.C., Keilhauer, G.G.R. Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold. Geom. Dedic. 1998;71(2):209-219.http://dx.doi.org/10.1023/A:1005084210109
