On Complex Points of Codimension 2 Submanifolds

In this paper we study the structure of complex points of codimension 2 real submanifolds in complex n -dimensional manifolds. We show that the local structure of complex points up to isotopy only depends on their type (either elliptic or hyperbolic). We also show that any such submanifold can be sm...

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Veröffentlicht in:	The Journal of Geometric Analysis 2016-01, Vol.26 (1), p.206-219
1. Verfasser:	Slapar, Marko
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics
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Zusammenfassung:	In this paper we study the structure of complex points of codimension 2 real submanifolds in complex n -dimensional manifolds. We show that the local structure of complex points up to isotopy only depends on their type (either elliptic or hyperbolic). We also show that any such submanifold can be smoothly isotoped into a submanifold that has 2-strictly pseudoconvex neighborhood basis.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-014-9545-7