Bulletin of the American Mathematical Society

Author(s): M. S. Baouendi; P. Ebenfelt; Linda Preiss Rothschild
Journal: Bull. Amer. Math. Soc. 37 (2000), 309-336.
MSC (2000): Primary 32V40, 32V35, 32V25, 32H02, 32V15, 32T15
Posted: February 24, 2000
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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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Retrieve articles in Bulletin of the American Mathematical Society with MSC (2000): 32V40, 32V35, 32V25, 32H02, 32V15, 32T15

M. S. Baouendi
Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, CA 92093
Email: sbaouendi@ucsd.edu

P. Ebenfelt
Affiliation: Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Email: ebenfelt@math.kth.se

Linda Preiss Rothschild
Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, CA 92093
Email: lrothschild@ucsd.edu

DOI: 10.1090/S0273-0979-00-00863-6
PII: S 0273-0979(00)00863-6
Received by editor(s): Received by the editors July 22, 1999, and in revised form October 28, 1999.
Posted: February 24, 2000
Additional Notes: The first and the third authors are partially supported by National Science Foundation grant DMS 98-01258. The second author is supported by a grant from the Swedish Natural Science Research Council.
Copyright of article: Copyright 2000, American Mathematical Society

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