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Abstract:

To any (0,2)-tensor field on the tangent and cotangent bundles of a Fedosov manifold, we associate a global matrix function 'mutatis mutandis' as in the semi-Riemannian case. Based on this fact, natural (0,2)-tensor fields on these bundles are defined and characterized. © Balkan Society of Geometers, Geometry Balkan Press 2006.

Registro:

Documento: Artículo
Título:Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
Autor:Araujo, J.; Keilhauer, G.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas, UNICEN, (7000) Tandil - Buenos Aires, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:Connection map; Tangent bundle; Tensor field
Año:2006
Volumen:11
Número:2
Página de inicio:11
Página de fin:19
Título revista:Balkan Journal of Geometry and its Applications
Título revista abreviado:Balkan J. Geom. Applic.
ISSN:12242780
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo

Referencias:

  • Araujo, J., Keilhauer, G.G.R., Natural tensor fields of type (0,2) on the tangent and cotangent bundles of a semi-Riemannian manifold (2002) Mathematica, 39, pp. 7-16. , Acta Univ. Palacki. Olomuc., Fac. Her. Nat
  • Bryant, R.L., An introduction to lie groups and symplectic geometry (1995) IAS / Park City Mathematics Series, 1, pp. 7-181. , Geometry and Quantum Field Theory (D.S. Freed and K.Uhlenbeck, Ens.), Am. Math. Society, Institute for Advanced Study, Providence
  • Gelfand, I., Retakh, V., Shubin, M., Fedosov manifolds (1998) Advances in Mathematics, 136, pp. 104-140
  • Weyl, H., (1997) The Classical Groups, Their Invariance and Representations, , Princeton Landmarks in Mathematics

Citas:

---------- APA ----------
Araujo, J. & Keilhauer, G. (2006) . Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold. Balkan Journal of Geometry and its Applications, 11(2), 11-19.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo [ ]
---------- CHICAGO ----------
Araujo, J., Keilhauer, G. "Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold" . Balkan Journal of Geometry and its Applications 11, no. 2 (2006) : 11-19.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo [ ]
---------- MLA ----------
Araujo, J., Keilhauer, G. "Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold" . Balkan Journal of Geometry and its Applications, vol. 11, no. 2, 2006, pp. 11-19.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo [ ]
---------- VANCOUVER ----------
Araujo, J., Keilhauer, G. Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold. Balkan J. Geom. Applic. 2006;11(2):11-19.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo [ ]