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

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

2012-02-21

arxiv.org/abs/1202.4624v1

Mathematics

Differential Geometry

15 pages

Scientific paper

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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