RT Journal Article
T1 The homogeneous geometries of complex hyperbolic space
A1 Carmona Jiménez, J. L.
A1 Castrillón López, Marco
AB 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.
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/7226
UL https://hdl.handle.net/20.500.14352/7226
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Castilla y León
DS Docta Complutense
RD 5 jul 2025