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Local integrability of CR-hypersurfaces

Published online by Cambridge University Press:  17 April 2009

Kil H. Kwon  and
Byeong C. Song
Kil H. Kwon
Affiliation:
Department of Mathematics, KAIST P.O. Box 150, Cheongryang, Seoul 130-650, Korea
Byeong C. Song
Affiliation:
Department of Mathematics, KAIST P.O. Box 150, Cheongryang, Seoul 130-650, Korea
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Abstract

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By characterising CR-hypersurfaces of dimension m having m strongly independent CR-functions, we find the necessary condition for a CR-hypersurface to be locally integrable and show that the same condition is also sufficient if the CR-hypersurface is strongly pseudoconvex and has m strongly independent CR-functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 375 - 380
Copyright
Copyright © Australian Mathematical Society 1991

References

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