Spaces of locally homogeneous affine surfaces
Loading...
Identifiers
Publication date
Advisors
Tutors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Metrics
Export
Abstract
We examine the topology of various spaces of locally homogeneous affine surfaces which arise from the classification result of Opozda [11] as orbits of the action of GL(2,R) (Type A) and the ax + b group (Type B). We determine the topology of the spaces of Type A models in relation to the rank of the Ricci tensor. We determine the topology of the spaces of Type B models which either are flat or where the Ricci tensor is alternating.
Description
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s13398-019-00763-9
Bibliographic citation
Brozos-Vázquez, M., García-Río, E. & Gilkey, P. Spaces of locally homogeneous affine surfaces. RACSAM 114, 39 (2020)
Relation
Has part
Has version
Is based on
Is part of
Is referenced by
Is version of
Requires
Publisher version
https://doi.org/10.1007/s13398-019-00763-9Sponsors
Supported by projects MTM2016-75897-P and ED431C 2019/10 (European FEDER support included, UE).