We study the geometry of the second fundamental form of pseudohermitian immersions among nondegenerate CR manifolds. In particular we study existence and uniqueness of pseudohermitian immersions $\varphi : M \to S^{2n+3}$ of a strictly pseudoconvex CR manifold $M$ into an odd dimensional sphere, as determined by the pseudohermitian Gauss and Weingarten equations.

CR immersions and Lorentzian geometry Part I: pseudohermitian rigidity of CR immersions

DRAGOMIR, Sorin;
2013-01-01

Abstract

We study the geometry of the second fundamental form of pseudohermitian immersions among nondegenerate CR manifolds. In particular we study existence and uniqueness of pseudohermitian immersions $\varphi : M \to S^{2n+3}$ of a strictly pseudoconvex CR manifold $M$ into an odd dimensional sphere, as determined by the pseudohermitian Gauss and Weingarten equations.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/50838
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