INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
The geometry of locally symmetric affine surfaces
Autor/es:
DANIELA D'ASCANIO; PETER B. GILKEY; PABLO PISANI
Revista:
Vietnam Journal of Mathematics
Editorial:
Springer
Referencias:
Año: 2018
ISSN:
2305-221X
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.
