Homogeneous affine surfaces: Moduli spaces
Differential Geometry
2016-04-25 v1
Abstract
We analyze the moduli space of non-flat homogeneous affine connections on surfaces. For Type surfaces, we write down complete sets of invariants that determine the local isomorphism type depending on the rank of the Ricci tensor and examine the structure of the associated moduli space. For Type surfaces which are not Type we show the corresponding moduli space is a simply connected real analytic 4-dimensional manifold with second Betti number equal to .
Cite
@article{arxiv.1604.06610,
title = {Homogeneous affine surfaces: Moduli spaces},
author = {Miguel Brozos-Vázquez and Eduardo García-Río and P. Gilkey},
journal= {arXiv preprint arXiv:1604.06610},
year = {2016}
}