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- Title
On maps between nonminimal hypersurfaces.
- Authors
Juhlin, Robert; Lamel, Bernhard
- 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.
- Subjects
HYPERSURFACES; MAPS; AUTOMORPHISMS; HYPERSPACE; GEOMETRIC surfaces
- Publication
Mathematische Zeitschrift, 2013, Vol 273, Issue 1/2, p515
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-012-1017-9