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math.DG2019★ 1 cited
Symmetric affine surfaces with torsion
Daniela D'Ascanio, Peter Gilkey, Pablo Pisani
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. T…
math.DG2019★ 1 cited
Affine Killing vector fields on homogeneous surfaces with torsion
Daniela D'Ascanio, Peter Gilkey, Pablo Pisani
Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing tor…