On maps between nonminimal hypersurfaces |
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Authors: | Robert Juhlin Bernhard Lamel |
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Institution: | 1. Fakult?t für Mathematik, Universit?t Wien, Nordbergstrasse 15, 1090, Vienna, Austria
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Abstract: | We construct an analytic jet parametrization for nontrivial CR maps between real-analytic 1-nonminimal hypersurfaces in ${\mathbb{C}^2}$ . In particular, this gives a real-analytic structure on the set of all such maps, and shows that the automorphism groups of a 1-nonminimal hypersurface in ${\mathbb{C}^2}$ is a Lie group. Our results also hold for some classes of 1-nonminimal hypersurfaces in higher dimensions. |
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