info:eu-repo/semantics/article
Affine Killing vector fields on homogeneous surfaces with torsion
Fecha
2019-06Registro en:
D'ascanio, Daniela; Gilkey, Peter; González Pisani, Pablo Andrés; Affine Killing vector fields on homogeneous surfaces with torsion; IOP Publishing; Classical and Quantum Gravity; 36; 14; 6-2019; 145008-25
0264-9381
CONICET Digital
CONICET
Autor
D'ascanio, Daniela
Gilkey, Peter
González Pisani, Pablo Andrés
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.