Local geometric properties of real submanifolds in complex space
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- by M. S. Baouendi, P. Ebenfelt and Linda Preiss Rothschild PDF
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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.References
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Additional Information
- 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
- MR Author ID: 339422
- Email: ebenfelt@math.kth.se
- Linda Preiss Rothschild
- Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, CA 92093
- MR Author ID: 151000
- Email: lrothschild@ucsd.edu
- Received by editor(s): July 22, 1999
- Received by editor(s) in revised form: October 28, 1999
- Published electronically: 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 2000 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 37 (2000), 309-336
- MSC (2000): Primary 32V40, 32V35, 32V25, 32H02, 32V15, 32T15
- DOI: https://doi.org/10.1090/S0273-0979-00-00863-6
- MathSciNet review: 1754643