Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

Simple item page
dc.creatorBaouendi, M. S.
dc.creatorEbenfelt, P.
dc.creatorHuang, X.
dc.date2007-11-29
dc.date.accessioned2026-07-07T08:45:59Z
dc.date.available2026-07-07T08:45:59Z
dc.descriptionLet $Q^N_l\subset \bC\bP^{N+1}$ denote the standard real, nondegenerate hyperquadric of signature $l$ and $M\subset \bC^{n+1}$ a real, Levi nondegenerate hypersurface of the same signature $l$. We shall assume that there is a holomorphic mapping $H_0\colon U\to \bC\bP^{N_0+1}$, where $U$ is some neighborhood of $M$ in $\bC^{n+1}$, such that $H_0(M)\subset Q^{N_0}_l$ but $H(U)\not\subset Q^{N_0}_l$. We show that if $N_0-n<l$ then, for any $N\geq N_0$, any holomorphic mapping $H\colon U\to \bC\bP^{N+1}$ with $H(M)\subset Q^{N}_l$ and $H(U)\not\subset Q^{N_0}_l$ must be the standard linear embedding of $Q^{N_0}_l$ into $Q^N_l$ up to conjugation by automorphisms of $Q^{N_0}_l$ and $Q^N_l$.
dc.identifierhttps://arxiv.org/abs/0711.4647
dc.identifierhttp://arxiv.org/abs/0711.4647
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143136
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32H02, 32V30
dc.titleSuper-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
dc.typetext

Files

Collections

arXiv