40 citations · 294 across the 29 of their papers we have counts for
3 papers · 1 filter
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…
The geometry of locally symmetric affine surfaces
D. D'Ascanio, P. Gilkey, P. Pisani
We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomorphic local geometries. We realize these examples as Type A, Type B, and Type C g…
Geodesic completeness for Type~A surfaces
Daniela D'Ascanio, Peter B. Gilkey, Pablo Pisani
Type A surfaces are the locally homogeneous affine surfaces which can be locally described by constant Christoffel symbols. We address the issue of the geodesic completeness of the…