Articulo
The Geometry of Locally Symmetric Affine Surfaces
Registro en:
issn:2305-221X
issn:2305-2228
Autor
D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
Institución
Resumen
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. Instituto de Física La Plata