Local geometric properties of real submanifolds in complex space

Baouendi, M.; Ebenfelt, P.; Rothschild, Linda

doi:10.1090/S0273-0979-00-00863-6

Local geometric properties of real submanifolds in complex space
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by M. S. Baouendi, P. Ebenfelt and Linda Preiss Rothschild PDF

Bull. Amer. Math. Soc. 37 (2000), 309-336 Request permission

Abstract:

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.

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