Cohomogeneity one actions on noncompact symmetric spaces of rank one
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We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces CH", n ≥ 3. For the quaternionic hyperbolic spaces MH n , n > 3, we reduce the classification problem to a problem in quaternionic linear algebra and obtain partial results. For real hyperbolic spaces, this classification problem was essentially solved by Elie Cartan.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1c3b9fbffacd4d83f9f2e42fdd3c55a5d83f2de8
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- J. Díaz-Ramos
- Jurgen Berndt
Citations in the corpus
- Real Hypersurfaces with Constant Principal Curvatures in Complex Hyperbolic Spaces (2005, background): “The first author and Tamaru [ 5 ] derived recently the complete classification of”