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2014 A parametrized de Rham decomposition theorem for CR manifolds
Atsushi Hayashimoto
Tohoku Math. J. (2) 66(1): 93-105 (2014). DOI: 10.2748/tmj/1396875664

Abstract

The CR equivalence problem between CR manifolds with slice structure is studied. Let $N$ be a connected holomorphically nondegenerate real analytic hypersurface and $M(p)$ a finitely nondegenerate real analytic hypersurface parametrized by $p \in N$. Let $M$ be a totality of $N$ and $M(p)$ with moving $p$ in $N$. Assume that $M$ and $\widetilde{M}$ (with a same structure as $M$) are CR equivalent and that $N$ and $\widetilde{N}$ are also CR equivalent. Then we prove that, for any $p \in N$, there exists $\tilde{p}\in \widetilde{N}$ such that $M(p)$ is CR equivalent to $\widetilde{M}(\tilde{p})$.

Citation

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Atsushi Hayashimoto. "A parametrized de Rham decomposition theorem for CR manifolds." Tohoku Math. J. (2) 66 (1) 93 - 105, 2014. https://doi.org/10.2748/tmj/1396875664

Information

Published: 2014
First available in Project Euclid: 7 April 2014

zbMATH: 1290.32035
MathSciNet: MR3189481
Digital Object Identifier: 10.2748/tmj/1396875664

Subjects:
Primary: 32V20
Secondary: 32V35

Rights: Copyright © 2014 Tohoku University

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Vol.66 • No. 1 • 2014
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