Diederich–Fornæss and Steinness Indices for Abstract CR Manifolds

Masanori Adachi; Jihun Yum

doi:10.1007/s12220-020-00598-6

Diederich–Fornæss and Steinness Indices for Abstract CR Manifolds

Masanori Adachi
, Jihun Yum^*

^*Corresponding author for this work

Department of Mathematics Education

Shizuoka University
Institute for Basic Science

Research output: Contribution to journal › Journal article › peer-review

7 Scopus citations

Abstract

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 conditions, 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.

Original language	English
Pages (from-to)	8385-8413
Number of pages	29
Journal	Journal of Geometric Analysis
Volume	31
Issue number	8
DOIs	https://doi.org/10.1007/s12220-020-00598-6
State	Published - 2021.08

Keywords

Diederich–Fornaess index
D’Angelo 1-form
Plurisubharmonic function
Pseudoconvexity
Steinness index

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10.1007/s12220-020-00598-6

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title = "Diederich–Forn{\ae}ss and Steinness Indices for Abstract CR Manifolds",

abstract = "We propose the concept of Diederich–Forn{\ae}ss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D{\textquoteright}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–Forn{\ae}ss and Steinness indices of the domain, and CR invariance of the original indices follows.",

keywords = "Diederich–Fornaess index, D{\textquoteright}Angelo 1-form, Plurisubharmonic function, Pseudoconvexity, Steinness index",

author = "Masanori Adachi and Jihun Yum",

note = "Publisher Copyright: {\textcopyright} 2021, Mathematica Josephina, Inc.",

year = "2021",

month = aug,

doi = "10.1007/s12220-020-00598-6",

language = "English",

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T1 - Diederich–Fornæss and Steinness Indices for Abstract CR Manifolds

AU - Adachi, Masanori

AU - Yum, Jihun

PY - 2021/8

Y1 - 2021/8

N2 - 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 conditions, 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.

AB - 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 conditions, 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.

KW - Diederich–Fornaess index

KW - D’Angelo 1-form

KW - Plurisubharmonic function

KW - Pseudoconvexity

KW - Steinness index

UR - https://www.scopus.com/pages/publications/85099978947

U2 - 10.1007/s12220-020-00598-6

DO - 10.1007/s12220-020-00598-6

M3 - Journal article

AN - SCOPUS:85099978947

SN - 1050-6926

VL - 31

SP - 8385

EP - 8413

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 8

ER -

Diederich–Fornæss and Steinness Indices for Abstract CR Manifolds

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Keywords

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