Articulo
Affine Killing vector fields on homogeneous surfaces with torsion
Registro en:
issn:0264-9381
issn:1361-6382
Autor
D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
Institución
Resumen
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 torsion as an independent degree of freedom. In this article we examine the effects of torsion on the affine Killing vectors of two-dimensional manifolds. We give a complete description of the Lie algebras of affine Killing vector fields on homogeneous surfaces. This can be used in the search of non-metrizable surfaces of interest. Instituto de Física La Plata