Castrillón López, MarcoMartínez Gadea, PedroSwann, Andrew2023-06-202023-06-2020090019-2082https://hdl.handle.net/20.500.14352/50704The connected groups acting by isometries on either the real or the complex hyperbolic spaces are determined. A Lie-theoretic description of the homogeneous Riemannian, respectively Kähler, structures of linear type on these spaces is then found. On both spaces, examples that are not of linear type are given.engjournal articlehttp://0-projecteuclid.org.cisne.sim.ucm.es/DPubS/Repository/1.0/Disseminate?handle=euclid.ijm/1266934792&view=body&content-type=pdfview_1http://ijm.math.illinois.edu/http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.ijmrestricted access514.762Homogeneous StructuresHyperbolic SpacesIsometry GroupIwasawa DecompositionGeometría diferencial1204.04 Geometría Diferencial