The homogeneous geometries of complex hyperbolic space

We describe the holonomy algebras of all canonical connections and their action on complex hyperbolic spaces CH(n) in all dimensions (n ∈ N). This thorough investigation yields a formula for all Kähler homogeneous structures on complex hyperbolic spaces. Finally, we have related the belonging of the...

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Detalles Bibliográficos
Autores: Carmona Jiménez, J. L., Castrillón López, Marco
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7226
Acceso en línea:https://hdl.handle.net/20.500.14352/7226
Access Level:acceso abierto
Palabra clave:514.7
Canonical connection
Complex hyperbolic space
Homogeneous structures
Holonomy
Geometría diferencial
1204.04 Geometría Diferencial
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oai_identifier_str oai:docta.ucm.es:20.500.14352/7226
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spelling The homogeneous geometries of complex hyperbolic spaceCarmona Jiménez, J. L.Castrillón López, Marco514.7Canonical connectionComplex hyperbolic spaceHomogeneous structuresHolonomyGeometría diferencial1204.04 Geometría DiferencialWe describe the holonomy algebras of all canonical connections and their action on complex hyperbolic spaces CH(n) in all dimensions (n ∈ N). This thorough investigation yields a formula for all Kähler homogeneous structures on complex hyperbolic spaces. Finally, we have related the belonging of the homogeneous structures to the different Tricerri and Vanhecke’s (or Abbena and Garbiero’s) orthogonal and irreducible U(n)-submodules with concrete and determined expressions of the holonomy.Universidad Complutense de Madrid20212021-01-0120212021-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7226reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/72262026-06-02T12:44:21Z
dc.title.none.fl_str_mv The homogeneous geometries of complex hyperbolic space
title The homogeneous geometries of complex hyperbolic space
spellingShingle The homogeneous geometries of complex hyperbolic space
Carmona Jiménez, J. L.
514.7
Canonical connection
Complex hyperbolic space
Homogeneous structures
Holonomy
Geometría diferencial
1204.04 Geometría Diferencial
title_short The homogeneous geometries of complex hyperbolic space
title_full The homogeneous geometries of complex hyperbolic space
title_fullStr The homogeneous geometries of complex hyperbolic space
title_full_unstemmed The homogeneous geometries of complex hyperbolic space
title_sort The homogeneous geometries of complex hyperbolic space
dc.creator.none.fl_str_mv Carmona Jiménez, J. L.
Castrillón López, Marco
author Carmona Jiménez, J. L.
author_facet Carmona Jiménez, J. L.
Castrillón López, Marco
author_role author
author2 Castrillón López, Marco
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 514.7
Canonical connection
Complex hyperbolic space
Homogeneous structures
Holonomy
Geometría diferencial
1204.04 Geometría Diferencial
topic 514.7
Canonical connection
Complex hyperbolic space
Homogeneous structures
Holonomy
Geometría diferencial
1204.04 Geometría Diferencial
description We describe the holonomy algebras of all canonical connections and their action on complex hyperbolic spaces CH(n) in all dimensions (n ∈ N). This thorough investigation yields a formula for all Kähler homogeneous structures on complex hyperbolic spaces. Finally, we have related the belonging of the homogeneous structures to the different Tricerri and Vanhecke’s (or Abbena and Garbiero’s) orthogonal and irreducible U(n)-submodules with concrete and determined expressions of the holonomy.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
2021
2021-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/7226
url https://hdl.handle.net/20.500.14352/7226
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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