INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
Symmetric affine surfaces with torsion
Autor/es:
D'ASCANIO, D.; GILKEY, P.; PISANI, P.
Revista:
JOURNAL OF GEOMETRY AND PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2020 vol. 147 p. 103536 - 103545
ISSN:
0393-0440
Resumen:
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.
