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Sur la résolution des équations de Cauchy-Riemann tangentielles pour les formes à support compact dans les variétés CR

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Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Résumé

— On démontre un théorème sur la résolubilité des équations de Cauchy-Riemann tangentielles pour les (0,q )-formes différentielles à support compact dans une variété CR générique q -concave. On applique ensuite ce résultat à l’étude du phénomène de Hartogs-Bochner dans les variétés CR , 1-concaves.

Abstract

— We prove a theorem on the solvability of the tangential Cauchy-Riemann equations for the (0, q )-forms with compact support in q -concave, generic CR -manifolds. We apply this result to study the Hartogs-Bochner phenomenon in 1-concave CR -manifolds.

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Laurent-Thiebaut, C. (1991). Sur la résolution des équations de Cauchy-Riemann tangentielles pour les formes à support compact dans les variétés CR . In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_29

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_29

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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