Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold

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...

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Autores principales: Araujo, José Orlando, Keilhauer, Guillermo Germán Roberto
Publicado: 2006
Materias:
Connection map
Tangent bundle
Tensor field
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo
http://hdl.handle.net/20.500.12110/paper_12242780_v11_n2_p11_Araujo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_12242780_v11_n2_p11_Araujo
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spelling paper:paper_12242780_v11_n2_p11_Araujo2023-06-08T16:10:05Z Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold Araujo, José Orlando Keilhauer, Guillermo Germán Roberto Connection map Tangent bundle Tensor field 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. Fil:Araujo, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Keilhauer, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo http://hdl.handle.net/20.500.12110/paper_12242780_v11_n2_p11_Araujo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Connection map
Tangent bundle
Tensor field
spellingShingle Connection map
Tangent bundle
Tensor field
Araujo, José Orlando
Keilhauer, Guillermo Germán Roberto
Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
topic_facet Connection map
Tangent bundle
Tensor field
description 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.
author Araujo, José Orlando
Keilhauer, Guillermo Germán Roberto
author_facet Araujo, José Orlando
Keilhauer, Guillermo Germán Roberto
author_sort Araujo, José Orlando
title Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
title_short Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
title_full Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
title_fullStr Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
title_full_unstemmed Natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a Fedosov manifold
title_sort natural tensor-fields of type (0, 2) on the tangent and cotangent bundles of a fedosov manifold
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12242780_v11_n2_p11_Araujo
http://hdl.handle.net/20.500.12110/paper_12242780_v11_n2_p11_Araujo
work_keys_str_mv AT araujojoseorlando naturaltensorfieldsoftype02onthetangentandcotangentbundlesofafedosovmanifold
AT keilhauerguillermogermanroberto naturaltensorfieldsoftype02onthetangentandcotangentbundlesofafedosovmanifold
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