论文标题

Diederich-Fornaess和Steinness for Abstract Cr歧管

Diederich-Fornaess and Steinness indices for abstract CR manifolds

论文作者

Adachi, Masanori, Yum, Jihun

论文摘要

我们提出了DeDerich-Fornæss和Steinness索引在紧凑型伪cr cr cr上的概念,该概念按照D'Angelo 1形式的高表面类型。当Cr歧管在复杂的歧管中界限一个域时,在某些其他非统一条件下,这些指标被证明与域的原始Diederich-Fornæss和Steinness指数相吻合,而原始指数的CR则随之一致。

We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold bounds a domain in a complex manifold, under certain additional non-degeneracy condition, those indices are shown to coincide with the original Diederich--Fornæss and Steinness indices of the domain, and CR invariance of the original indices follows.

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