Geometric properties of non-compact CR manifolds by Giuseppe SalaGeometric properties of non-compact CR manifolds by Giuseppe Sala

Geometric properties of non-compact CR manifolds

byGiuseppe Sala

Paperback | April 28, 2010

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The book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the main results on the extension of CR functions, it is shown in chapters 2 and 3 that, employing the classical Harvey-Lawson theorem and under suitable conditions, the boundary problem for non-compact maximally complex real submanifolds of Cn, n=3 is solvable.In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved.
Title:Geometric properties of non-compact CR manifoldsFormat:PaperbackDimensions:150 pagesPublished:April 28, 2010Publisher:Scuola Normale SuperioreLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:8876423486

ISBN - 13:9788876423482

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