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CR-manifolds of dimension 5: A Lie algebra approach
-
Gregor Fels
and
Wilhelm Kaup
Published/Copyright:
June 1, 2007
Abstract
We study real-analytic Levi degenerate hypersurfaces M in complex manifolds of dimension 3, for which the CR-automorphism group Aut(M) is a real Lie group acting transitively on M. We provide large classes of examples for such M, compute the corresponding groups Aut(M) and determine the maximal subsets of M that cannot be separated by global continuous CR-functions. It turns out that all our examples, although partly arising in different contexts, are locally CR-equivalent to the tube 
over the future light cone 
in 3-dimensional space-time.
Received: 2005-07-26
Revised: 2005-12-23
Published Online: 2007-06-01
Published in Print: 2007-03-27
© Walter de Gruyter
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- Orthogonal polynomials and fluctuations of random matrices
- CR-manifolds of dimension 5: A Lie algebra approach
- Filtered spectra arising from permutative categories
- The Chow rings of G2 and Spin(7)
- Admissible semi-linear representations
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Articles in the same Issue
- Orthogonal polynomials and fluctuations of random matrices
- CR-manifolds of dimension 5: A Lie algebra approach
- Filtered spectra arising from permutative categories
- The Chow rings of G2 and Spin(7)
- Admissible semi-linear representations
- On the genericity of cuspidal automorphic forms of SO2n+1
- On classical Saito-Kurokawa liftings
