CR-invariance of the Steinness index

Jihun Yum

doi:10.1007/s00209-020-02545-1

CR-invariance of the Steinness index

Jihun Yum^*

^*Corresponding author for this work

Department of Mathematics Education

Pusan National University

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

7 Scopus citations

Abstract

We characterize the Diederich–Fornæss index and the Steinness index in terms of a special 1-form, which we call D’Angelo 1-form. We then prove that the Diederich–Fornæss and Steinness indices are invariant under CR-diffeomorphisms by showing CR-invariance of D’Angelo 1-forms.

Original language	English
Pages (from-to)	1043-1056
Number of pages	14
Journal	Mathematische Zeitschrift
Volume	297
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-020-02545-1
State	Published - 2021.04

Keywords

CR-invariance
Diederich–Fornæss index
D’Angelo 1-form
Steinness index

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10.1007/s00209-020-02545-1

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title = "CR-invariance of the Steinness index",

abstract = "We characterize the Diederich–Forn{\ae}ss index and the Steinness index in terms of a special 1-form, which we call D{\textquoteright}Angelo 1-form. We then prove that the Diederich–Forn{\ae}ss and Steinness indices are invariant under CR-diffeomorphisms by showing CR-invariance of D{\textquoteright}Angelo 1-forms.",

keywords = "CR-invariance, Diederich–Forn{\ae}ss index, D{\textquoteright}Angelo 1-form, Steinness index",

author = "Jihun Yum",

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year = "2021",

month = apr,

doi = "10.1007/s00209-020-02545-1",

language = "English",

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AU - Yum, Jihun

PY - 2021/4

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N2 - We characterize the Diederich–Fornæss index and the Steinness index in terms of a special 1-form, which we call D’Angelo 1-form. We then prove that the Diederich–Fornæss and Steinness indices are invariant under CR-diffeomorphisms by showing CR-invariance of D’Angelo 1-forms.

AB - We characterize the Diederich–Fornæss index and the Steinness index in terms of a special 1-form, which we call D’Angelo 1-form. We then prove that the Diederich–Fornæss and Steinness indices are invariant under CR-diffeomorphisms by showing CR-invariance of D’Angelo 1-forms.

KW - CR-invariance

KW - Diederich–Fornæss index

KW - D’Angelo 1-form

KW - Steinness index

UR - https://www.scopus.com/pages/publications/85085941711

U2 - 10.1007/s00209-020-02545-1

DO - 10.1007/s00209-020-02545-1

M3 - Journal article

AN - SCOPUS:85085941711

SN - 0025-5874

VL - 297

SP - 1043

EP - 1056

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

CR-invariance of the Steinness index

Abstract

Keywords

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