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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Guardado en:
Detalles Bibliográficos
Publicado: 1998
Materias:
Connection map
Tangent bundle
Tensor field
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v71_n2_p209_Calvo
http://hdl.handle.net/20.500.12110/paper_00465755_v71_n2_p209_Calvo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00465755_v71_n2_p209_Calvo
record_format dspace
spelling paper:paper_00465755_v71_n2_p209_Calvo2023-06-08T15:05:32Z Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold Connection map Tangent bundle Tensor field 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. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v71_n2_p209_Calvo http://hdl.handle.net/20.500.12110/paper_00465755_v71_n2_p209_Calvo
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
Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
topic_facet Connection map
Tangent bundle
Tensor field
description 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.
title Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
title_short Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
title_full Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
title_fullStr Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
title_full_unstemmed Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold
title_sort tensor fields of type (0, 2) on the tangent bundle of a riemannian manifold
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00465755_v71_n2_p209_Calvo
http://hdl.handle.net/20.500.12110/paper_00465755_v71_n2_p209_Calvo
_version_ 1768543553381728256

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