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Boundaries of Levi-flat hypersurfaces of ℂ2

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Complex Analysis and Geometry

Part of the book series: Progress in Mathematics ((PM,volume 188))

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Abstract

General problem: given a surface M in ℂ2 = {(z, w)}, z = x + iy, w = u + iv find a Levi-flat (i.e. foliated by complex curves) hypersurface X such that bX = M(bX=booumdary of X).

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Author information

Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Giuseppe Tomassini

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  1. Giuseppe Tomassini
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Editors and Affiliations

  1. Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie Case 247, 4, place Jussieu Cedex 05, 75252, Paris Cedex 05, France

    P. Dolbeault , A. Iordan , G. Henkin , H. Skoda  & J.-M. Trépreau , , ,  & 

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Tomassini, G. (2000). Boundaries of Levi-flat hypersurfaces of ℂ2 . In: Dolbeault, P., Iordan, A., Henkin, G., Skoda, H., Trépreau, JM. (eds) Complex Analysis and Geometry. Progress in Mathematics, vol 188. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8436-5_16

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  • DOI: https://doi.org/10.1007/978-3-0348-8436-5_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9566-8

  • Online ISBN: 978-3-0348-8436-5

  • eBook Packages: Springer Book Archive

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