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The homogeneous geometries of complex hyperbolic space

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dc.contributor.authorCarmona Jiménez, J. L.
dc.contributor.authorCastrillón López, Marco
dc.date.accessioned2023-06-17T08:28:27Z
dc.date.available2023-06-17T08:28:27Z
dc.date.issued2021
dc.description.abstractWe 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.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipJunta de Castilla y León
dc.description.statusunpub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/73169
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7226
dc.language.isoeng
dc.relation.projectIDPGC2018-098321-B-I00
dc.relation.projectIDSA090G19
dc.rights.accessRightsopen access
dc.subject.cdu514.7
dc.subject.keywordCanonical connection
dc.subject.keywordComplex hyperbolic space
dc.subject.keywordHomogeneous structures
dc.subject.keywordHolonomy
dc.subject.ucmGeometría diferencial
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleThe homogeneous geometries of complex hyperbolic space
dc.typejournal article
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