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VOL. 33 | 1994 Degenerate holomorphic mappings of nondegenerate $CR$-manifolds


We announce the following result: the Jacobian of a locally defined holomorphic mapping between two real-analytic $CR$-manifolds $M_1$ and $M_2$ in $\mathbb{C}^N$ where $M_1$ has a nondegenerate Levi form and satisfies a certain rigidity c~ndition, is identically zero, if it is zero at one point on $M_1$. We also give a description of the image of the mapping in terms of the geometry of $M_2$.


Published: 1 January 1994
First available in Project Euclid: 18 November 2014

zbMATH: 0843.32010
MathSciNet: MR1332506

Rights: Copyright © 1994, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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