Homogeneous quaternionic Kähler structures on eight-dimensional non-compact quaternion-Kähler symmetric spaces

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 structures are studied.

Detalhes bibliográficos
Autores: Castrillón López, Marco, Martínez Gadea, Pedro, Oubiña, J. A.
Tipo de documento: artigo
Data de publicação:2009
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/50718
Acesso em linha:https://hdl.handle.net/20.500.14352/50718
Access Level:Acceso aberto
Palavra-chave:515.16
non-compact quaternion-Kähler symmetric spaces
homogeneous Riemannian structures
homogeneous quaternionic Kähler structures
parabolic subgroups
refined Langlands decomposition.
Geometria algebraica
1201.01 Geometría Algebraica
Descrição
Resumo: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 structures are studied.