Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
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 t...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Springer Netherlands
1998
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03422caa a22004337a 4500 | ||
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| 001 | PAPER-19871 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205115.0 | ||
| 008 | 190411s1998 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0042227353 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Calvo, M.D.C. | |
| 245 | 1 | 0 | |a Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold |
| 260 | |b Springer Netherlands |c 1998 | ||
| 270 | 1 | 0 | |m Calvo, M.D.C.; Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina; email: mccalvo@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Gromoll, D., Klingenberg, W., Meyer, W., (1968) Riemannsche Geometrie im Großen, , Lecture Notes in Math. 55, Springer, New York | ||
| 504 | |a Janyška, J., Natural 2-forms on the tangent bundle of a Riemannian manifold (1994) Rend. Cir. Mat. Palermo (2). Suppl., 32, pp. 165-174 | ||
| 504 | |a Kolář, I., Michor, P., Slovák, J., (1993) Natural Operations in Differential Geometry, , Springer-Verlag, New York | ||
| 504 | |a 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 | ||
| 504 | |a Krupka, D., Elementary theory of differential invariants (1978) Arch. Math. (Brno), 4, pp. 207-214 | ||
| 504 | |a Krupka, D., (1979) Differential Invariants, , Lecture Notes, Faculty of Science, Purkyně University, Brno | ||
| 504 | |a Krupka, D., Janyška, J., (1990) Lectures on Differential Invariants, , Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno | ||
| 504 | |a Krupka, D., Mikolášová, V., On the uniqueness of some differential invariants: D, [,] , ∇ (1984) Czechoslovak Math. J., 34, pp. 588-597 | ||
| 504 | |a Musso, E., Tricerri, F., Riemannian metrics on tangent bundles (1988) Ann. Mat. Pura Appl. (4), 150, pp. 1-19 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a CONNECTION MAP |
| 690 | 1 | 0 | |a TANGENT BUNDLE |
| 690 | 1 | 0 | |a TENSOR FIELD |
| 700 | 1 | |a Keilhauer, G.G.R. | |
| 773 | 0 | |d Springer Netherlands, 1998 |g v. 71 |h pp. 209-219 |k n. 2 |p Geom. Dedic. |x 00465755 |w (AR-BaUEN)CENRE-315 |t Geometriae Dedicata | |
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| 856 | 4 | 0 | |u https://doi.org/10.1023/A:1005084210109 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00465755_v71_n2_p209_Calvo |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v71_n2_p209_Calvo |y Registro en la Biblioteca Digital |
| 961 | |a paper_00465755_v71_n2_p209_Calvo |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 80824 | ||