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Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE |
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10.1515/crll.2005.2005.584.215 |
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The existence of non-linearizable isotropic CR-automorphisms of Levi non-degenerate hypersurfaces in complex space is characteristic for quadrics. In this paper we discover elliptic CR-manifolds of CR-dimension and codimension two that are not related to the quadric and that have non-linearizable isotropic automorphisms. This is a new and unexpected phenomenon. A complete description of such manifolds is given. |
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Journal für die reine und angewandte Mathematik, 2005(584), p. 215-236 |
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