Diederich-Fornaess and Steinness indices for abstract CR manifolds
Abstract
We propose the concept of Diederich--Fornss 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--Fornss and Steinness indices of the domain, and CR invariance of the original indices follows.
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