抽象CR流形的Diederich-Fornaess指标和Steinness指标
Diederich-Fornaess and Steinness indices for abstract CR manifolds
摘要：
本文利用D 'Angelo 1-形式给出了超曲面型紧致伪凸CR流形上的Diederich-Fornæss和Steinness指标的概念.当CR流形包围复流形中的一个区域时，在一定的附加非退化条件下，这些指标与该区域原来的Diederich-Fornæss和Steinness指标一致，并且原指标具有CR不变性.
英文摘要：
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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