Andrea Altomani, Marie-Amélie Lawn
Published 2011-06-15, updated 2012-02-19Version 2
Using a bigraded differential complex depending on the CR and pseudohermitian structure, we give a characterization of three-dimensional strongly pseudoconvex pseudo-hermitian CR-manifolds isometrically immersed in Euclidean space $\mathbb{R}^n$ in terms of an integral representation of Weierstrass type. Restricting to the case of immersions in $\mathbb{R}^4$, we study harmonicity conditions for such immersions and give a complete classification of CR-pluriharmonic immersions.
Comments: 24 pages; v2: final accepted version
Associated Families of 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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