Regular type of real hyper-surfaces in (almost) complex manifolds

The regular type of a real hyper-surface M in an (almost) complex manifold at some point p is the maximal contact order at p of M with germs of non singular (pseudo) holomorphic disks. The main purpose of this paper is to give two intrinsic characterizations the type: one in terms of Lie brackets of...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2004-12, Vol.248 (4), p.757-772
Main Authors: Barraud, Jean-Fran ois, Mazzilli, Emmanuel
Format: Article
Language:English
Subjects:
Complex Variables
Differential Geometry
Mathematics
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Summary:The regular type of a real hyper-surface M in an (almost) complex manifold at some point p is the maximal contact order at p of M with germs of non singular (pseudo) holomorphic disks. The main purpose of this paper is to give two intrinsic characterizations the type: one in terms of Lie brackets of a complex tangent vector field on M, the other in terms of some kind of derivatives of the Levi form.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-004-0679-3