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Journal of Lie Theory 16 (2006), No. 3, 407--426
Copyright Heldermann Verlag 2006

Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces

Alexander Isaev
Dept. of Mathematics, Australian National University, Canberra, ACT 0200, Australia

We introduce analogues of a map due to H. Rossi ["Attaching analytic spaces to an analytic space along a pseudoconcave boundary", in: Proc. Conf. Complex Analysis, Minneapolis 1964, Springer-Verlag 1965, 242--256] and show how they can be used to explicitly determine all covers of certain homogeneous strongly pseudoconvex 3-dimensional hypersurfaces that appear in the classification obtained by E. Cartan in 1932.

Keywords: Homogeneous 3-dimensional CR-manifolds, Rossi's example.

MSC: 53C30, 32V05

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