Local geometric properties of real submanifolds in complex space

We survey some recent results on local geometric properties of real submanifolds of complex space. Our main focus is on the structure and properties of mappings between such submanifolds. We relate these results to the classification of real submanifolds under biholomorphic, algebraic, or formal tra...

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Veröffentlicht in:Bulletin (new series) of the American Mathematical Society 2000-07, Vol.37 (3), p.309-336
Hauptverfasser: Baouendi, M., Ebenfelt, P., Rothschild, Linda
Format: Artikel
Sprache:eng
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Zusammenfassung:We survey some recent results on local geometric properties of real submanifolds of complex space. Our main focus is on the structure and properties of mappings between such submanifolds. We relate these results to the classification of real submanifolds under biholomorphic, algebraic, or formal transformations. Examples and open problems in this context are also mentioned.
ISSN:0273-0979
1088-9485
DOI:10.1090/S0273-0979-00-00863-6