Spaces of locally homogeneous affine surfaces

Brozos Vázquez, Miguel; García Río, Eduardo; Gilkey, Peter

doi:10.1007/s13398-019-00763-9

Spaces of locally homogeneous affine surfaces

dc.contributor.affiliation	Universidade de Santiago de Compostela. Departamento de Xeometría e Topoloxía	es_ES
dc.contributor.author	Brozos Vázquez, Miguel
dc.contributor.author	García Río, Eduardo
dc.contributor.author	Gilkey, Peter
dc.date.accessioned	2024-05-02T09:27:56Z
dc.date.available	2024-05-02T09:27:56Z
dc.date.issued	2020
dc.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	es_ES
dc.description.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.	es_ES
dc.description.peerreviewed	SI	es_ES
dc.description.sponsorship	Supported by projects MTM2016-75897-P and ED431C 2019/10 (European FEDER support included, UE).	es_ES
dc.identifier.citation	Brozos-Vázquez, M., García-Río, E. & Gilkey, P. Spaces of locally homogeneous affine surfaces. RACSAM 114, 39 (2020)	es_ES
dc.identifier.doi	10.1007/s13398-019-00763-9
dc.identifier.uri	http://hdl.handle.net/10347/33746
dc.language.iso	eng	es_ES
dc.publisher	Springer	es_ES
dc.relation.publisherversion	https://doi.org/10.1007/s13398-019-00763-9	es_ES
dc.rights.accessRights	open access	es_ES
dc.subject	Homogeneous affine surface	es_ES
dc.subject	Linear equivalence	es_ES
dc.subject	Ricci tensor	es_ES
dc.title	Spaces of locally homogeneous affine surfaces	es_ES
dc.type	journal article	es_ES
dc.type.hasVersion	AM	es_ES
dspace.entity.type	Publication
relation.isAuthorOfPublication	c23d014b-5c11-405d-af42-f172f0f55eb9
relation.isAuthorOfPublication.latestForDiscovery	c23d014b-5c11-405d-af42-f172f0f55eb9

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