Foliations by complex curves and the geometry of real surfaces of finite type |
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Authors: | A. Tumanov |
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Affiliation: | (1) Department of Mathematics, University of Illinois, Urbana, IL 61801, USA (e-mail: tumanov@math.uiuc.edu) , US |
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Abstract: | We show that if the Levi form of a smooth CR manifold is de-generate in every conormal direction, then on a dense open set, the manifold is foliated by complex curves. As a consequence we show that every real analytic manifold of finite D'Angelo type can be stratified so that each stratum locally is contained in a Levi nondegenerate hypersurface. Received in final form: 11 June 2001 / Published online: 28 February 2002 |
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