Propagation of CR extendibility at the vertex of a complex sector

Luca Baracco; Stefano Pinton

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arXiv · 1011.4451

Propagation of CR extendibility at the vertex of a complex sector

Luca Baracco·Stefano Pinton

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Abstract

We study propagation of CR extendibility at the vertex $p$ of an analytic sector $A$ contained in a CR manifold $M$. Let $k$ be the weighted vanishing order of $M$ and $\alpha $ the complex angle of $A$ at $p$. Propagation takes place if and only if $\alpha>\frac1k$.

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Luca Baracco, Stefano Pinton. 2010-11-19. Propagation of CR extendibility at the vertex of a complex sector. https://arxiv.org/abs/1011.4451

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