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복소기하학 연구단
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Diederich-Fornaess and Steinness Indices for Abstract CR Manifolds

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Title
Diederich-Fornaess and Steinness Indices for Abstract CR Manifolds
Author(s)
Adachi, Masanori; Jihun Yum
Publication Date
2021-08
Journal
JOURNAL OF GEOMETRIC ANALYSIS, v.31, no.8, pp.8385 - 8413
Publisher
SPRINGER
Abstract
We propose the concept of Diederich-Fornaess 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 conditions, those indices are shown to coincide with the original Diederich-Fornaess and Steinness indices of the domain, and CR invariance of the original indices follows.
URI
https://pr.ibs.re.kr/handle/8788114/10137
DOI
10.1007/s12220-020-00598-6
ISSN
1050-6926
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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