Andrea Altomani, Marie-Amélie Lawn
Published 2012-02-21Version 1
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.
Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces
A pinching theorem for the first eigenvalue of the laplacian on hypersurface of the euclidean space
Pinching of the First Eigenvalue of the Laplacian and almost-Einstein Hypersurfaces of the Euclidean Space
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