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Homogeneous Riemannian structures have been studied and classified in terms of tensors through the works of Ambrose-Singer and of Tricerri-Vanhecke, dating back to the 1950s and 1980s, respectively. More recently, an abstract representation theo[...]texto impreso
A classification of homogeneous quaternionic Kähler structures by real tensors is given and related to Fino’s representation theoretic decomposition. A relationship between the modules whose dimension grows linearly and quaternionic hyperbolic s[...]texto impreso
For each non-compact quaternion-Kähler symmetric space of dimension 8, all of its descriptions as a homogeneous Riemannian space (obtained through the Witte’s refined Langlands decomposition) and the associated homogeneous quaternionic Kähler st[...]texto impreso
The 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[...]texto impreso
An explicit expression of the canonical 8-form on a Riemannian manifold with a Spin(9)-structure, in terms of the nine local symmetric involutions involved, is given. The list of explicit expressions of all the canonical forms related to Berger’[...]texto impreso
We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanheck[...]
