Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces

Andrea Altomani; Marie-Amélie Lawn

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arXiv · 1202.4624

Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces

Andrea Altomani·Marie-Amélie Lawn

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Abstract

We consider isometric immersions in arbitrary codimension of three-dimensional strongly pseudoconvex pseudo-hermitian CR manifolds into the Euclidean space $\mathbb{R}^n$ and generalize in a natural way the notion of associated family. We show that the existence of such deformations turns out to be very restrictive and we give a complete classification.

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BibTeX RIS

Andrea Altomani, Marie-Amélie Lawn. 2012-02-21. Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces. https://arxiv.org/abs/1202.4624

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