Homogeneous surfaces admitting invariant connections

2019/05/14 by Blázquez-Sanz, David, Arango, Carlos Alberto Marín, Buitrago, Luis Fernando Jiménez
#53B05 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.05349

Abstract

We compute all the simply connected homogeneous and infinitesimally homogeneous surfaces admitting one or more invariant affine connections. We find exactly six non equivalent simply connected homogeneous surfaces admitting more than one invariant connections and four classes of simply connected homogeneous surfaces admitting exactly one invariant connection.

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