Symmetric affine surfaces with torsion

We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete classification of the local geometries possible if the torsion is assumed parallel. This generalizes a previous result of Opozda in the torsion free setting; these geometries are all locally homogeneous. I...

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Detalles Bibliográficos
Autores principales: D'Ascanio, Daniela, Gilkey, Peter B., González Pisani, Pablo Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
Symmetric affine space
Torsion
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124913
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-124913
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Symmetric affine space
Torsion
spellingShingle Ciencias Exactas
Física
Symmetric affine space
Torsion
D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
Symmetric affine surfaces with torsion
topic_facet Ciencias Exactas
Física
Symmetric affine space
Torsion
description We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete classification of the local geometries possible if the torsion is assumed parallel. This generalizes a previous result of Opozda in the torsion free setting; these geometries are all locally homogeneous. If the torsion is not parallel, we assume the underlying surface is locally homogeneous and provide a complete classification in this setting as well.
format Articulo
Preprint
author D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
author_facet D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
author_sort D'Ascanio, Daniela
title Symmetric affine surfaces with torsion
title_short Symmetric affine surfaces with torsion
title_full Symmetric affine surfaces with torsion
title_fullStr Symmetric affine surfaces with torsion
title_full_unstemmed Symmetric affine surfaces with torsion
title_sort symmetric affine surfaces with torsion
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/124913
work_keys_str_mv AT dascaniodaniela symmetricaffinesurfaceswithtorsion
AT gilkeypeterb symmetricaffinesurfaceswithtorsion
AT gonzalezpisanipabloandres symmetricaffinesurfaceswithtorsion
bdutipo_str Repositorios
_version_ 1764820451296542720

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