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dc.contributor.author
D'ascanio, Daniela  
dc.contributor.author
Gilkey, P.  
dc.contributor.author
Pisani, P.  
dc.date.available
2019-10-29T16:06:45Z  
dc.date.issued
2018-03  
dc.identifier.citation
D'ascanio, Daniela; Gilkey, P.; Pisani, P.; The Geometry of Locally Symmetric Affine Surfaces; Springer; Vietnam Journal of Mathematics; 47; 1; 3-2018; 5-21  
dc.identifier.issn
2305-221X  
dc.identifier.uri
http://hdl.handle.net/11336/87541  
dc.description.abstract
We examine the local geometry of affine surfaces which are locally symmetric. There are six 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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
AFFINE  
dc.subject
GEOMETRY  
dc.subject
GEODESICS  
dc.subject.classification
Otras Ciencias Físicas  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The Geometry of Locally Symmetric Affine Surfaces  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-29T12:18:01Z  
dc.journal.volume
47  
dc.journal.number
1  
dc.journal.pagination
5-21  
dc.journal.pais
Singapur  
dc.description.fil
Fil: D'ascanio, Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina  
dc.description.fil
Fil: Gilkey, P.. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina  
dc.description.fil
Fil: Pisani, P.. Mathematics Department, University Of Oregon; Estados Unidos  
dc.journal.title
Vietnam Journal of Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s10013-018-0280-4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10013-018-0280-4