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arXiv · 1611.05427

Inflexible $CR$ submanifolds

Judith Brinkschulte·C. Denson Hill
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Abstract

In this paper we introduce the concept of inflexible $CR$ submanifolds. These are $CR$ submanifolds of some complex Euclidean space such that any compactly supported $CR$ deformation is again globally $CR$ embeddable into some complex Euclidean space. Our main result is that any $2$-pseudoconcave quadratic $CR$ submanifold of type $(n,d)$ in $\mathbb{C}^{n+d}$ is inflexible.

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Judith Brinkschulte, C. Denson Hill. 2016-11-16. Inflexible $CR$ submanifolds. https://arxiv.org/abs/1611.05427

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