info:eu-repo/semantics/article
Symmetric affine surfaces with torsion
Fecha
2019-10Registro en:
D'ascanio, Daniela; Gilkey, Peter B.; González Pisani, Pablo Andrés; Symmetric affine surfaces with torsion; Elsevier Science; Journal Of Geometry And Physics; 147; 103536; 10-2019; 1-13
0393-0440
CONICET Digital
CONICET
Autor
D'ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
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.