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

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Abstract.

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.

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Authors and Affiliations

  1. UMR 8524, Université Lille 1, 59 655, Villeneuve d’Ascq Cedex, France

    Jean-François Barraud & Emmanuel Mazzilli

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  1. Jean-François Barraud
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  2. Emmanuel Mazzilli
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Correspondence to Emmanuel Mazzilli.

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Mathematics Subject Classification (2000): 32T25,32Q60

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Barraud, JF., Mazzilli, E. Regular type of real hyper-surfaces in (almost) complex manifolds. Math. Z. 248, 757–772 (2004). https://doi.org/10.1007/s00209-004-0679-3

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  • DOI: https://doi.org/10.1007/s00209-004-0679-3

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