The Geometry of Locally Symmetric Affine Surfaces

We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomorphic local geometries. We realize these examples as Type A, Type B, and Type C geometries using a result of Opozda and classify the relevant geometries up to linear isomorphism. We examine the geodesi...

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Detalles Bibliográficos
Autores principales: D'Ascanio, Daniela, Gilkey, Peter B., González Pisani, Pablo Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Ricci tensor
Symmetric affine surface
Geodesic completeness
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129325
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129325
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ricci tensor
Symmetric affine surface
Geodesic completeness
spellingShingle Física
Ricci tensor
Symmetric affine surface
Geodesic completeness
D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
The Geometry of Locally Symmetric Affine Surfaces
topic_facet Física
Ricci tensor
Symmetric affine surface
Geodesic completeness
description We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomorphic local geometries. We realize these examples as Type A, Type B, and Type C geometries using a result of Opozda and classify the relevant geometries up to linear isomorphism. We examine the geodesic structures in this context. Particular attention is paid to the Lorentzian analogue of the hyperbolic plane and to the pseudosphere.
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 The Geometry of Locally Symmetric Affine Surfaces
title_short The Geometry of Locally Symmetric Affine Surfaces
title_full The Geometry of Locally Symmetric Affine Surfaces
title_fullStr The Geometry of Locally Symmetric Affine Surfaces
title_full_unstemmed The Geometry of Locally Symmetric Affine Surfaces
title_sort geometry of locally symmetric affine surfaces
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/129325
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bdutipo_str Repositorios
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