Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ℂ4

Vladimir V. Ežov () and Gerd Schmalz ()
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Vladimir V. Ežov: University of South Australia, School of Mathematics
Gerd Schmalz: der Universität Bonn, Mathematisches Institut

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 89-103 from Springer

Abstract: Abstract In 1974 Chern and Moser [4] constructed normal forms for real-analytic hypersurfaces with non-degenerate Levi-form in ℂ n +1. For a real-analytic hypersurface M in ℂ2 this means that there are local coordinates z, w centered in 0 ∈ M such that the equation of M takes the form 1 $$ M:\operatorname{Im} w = \left| z \right|^2 + \sum\limits_{\begin{array}{*{20}c} {k,l \geqslant 2} \\ {\max (k,l) \geqslant 4} \\ \end{array} } {n_{kl} } (\operatorname{Re} w)z^k z^{ - l} . $$

Keywords: Normal Form; Isotropy Group; Real Hypersurface; Invariant Chain; Levi Form (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-642-55627-2_6

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