Homogeneous quaternionic Kähler structures on 12-dimensional Alekseevsky spaces

DOI10.1016/j.geomphys.2007.05.007zbMath1407.53047OpenAlexW2013310345MaRDI QIDQ2456451

Pedro Martínez Gadea, Jose A. Oubina, Marco Castrillón López

Publication date: 18 October 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.05.007

zbMATH Keywords

parabolic subgroupshomogeneous Riemannian structureshomogeneous quaternionic Kähler structuresAlekseevsky symmetric spacesrefined Langlands decomposition

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Homogeneous quaternionic Kähler structures on eight-dimensional non-compact quaternion-Kähler symmetric spaces ⋮ Homogeneous pseudo-Riemannian structures of linear type ⋮ Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group

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• On homogeneous Riemannian manifolds
• Non-discrete uniform subgroups of semisimple Lie groups
• Isometry Groups of Riemannian Solvmanifolds
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS

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