COHOMOGENEITY ONE ACTIONS ON SOME NONCOMPACT SYMMETRIC SPACES OF RANK TWO

We classify, up to orbit equivalence, the cohomogeneity one actions on the noncompact Riemannian symmetric spaces of rank two G 2 ℂ /G 2 , SL 3 ( ℂ )/SU 3 and SO 2, n  + 2 0 /SO 2 SO n  + 2 ,  n  ≥ 1.

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Bibliographic Details
Published in:Transformation groups 2015-12, Vol.20 (4), p.921-938
Main Authors: BERNDT, J., DOMÍNGUEZ-VÁZQUEZ, M.
Format: Article
Language:English
Subjects:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Summary:We classify, up to orbit equivalence, the cohomogeneity one actions on the noncompact Riemannian symmetric spaces of rank two G 2 ℂ /G 2 , SL 3 ( ℂ )/SU 3 and SO 2, n  + 2 0 /SO 2 SO n  + 2 ,  n  ≥ 1.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-015-9299-8