Almost CR manifolds with contracting CR automorphism

Jae Cheon Joo; Kang Hyurk Lee

doi:10.1007/s10455-023-09941-w

Almost CR manifolds with contracting CR automorphism

Jae Cheon Joo, Kang Hyurk Lee^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contraction is CR equivalent to the Heisenberg group model.

Original language	English
Article number	11
Journal	Annals of Global Analysis and Geometry
Volume	65
Issue number	1
DOIs	https://doi.org/10.1007/s10455-023-09941-w
State	Published - Feb 2024

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

Almost CR manifolds
CR contractions
Heisenberg group models

ASJC Scopus subject areas

Analysis
Geometry and Topology

Access to Document

10.1007/s10455-023-09941-w

Cite this

@article{2f078aae5eef45a79031e41d4ba5b993,

title = "Almost CR manifolds with contracting CR automorphism",

abstract = "In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contraction is CR equivalent to the Heisenberg group model.",

keywords = "Almost CR manifolds, CR contractions, Heisenberg group models",

author = "Joo, \{Jae Cheon\} and Lee, \{Kang Hyurk\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2024",

month = feb,

doi = "10.1007/s10455-023-09941-w",

language = "English",

volume = "65",

journal = "Annals of Global Analysis and Geometry",

issn = "0232-704X",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Almost CR manifolds with contracting CR automorphism

AU - Joo, Jae Cheon

AU - Lee, Kang Hyurk

PY - 2024/2

Y1 - 2024/2

N2 - In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contraction is CR equivalent to the Heisenberg group model.

AB - In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contraction is CR equivalent to the Heisenberg group model.

KW - Almost CR manifolds

KW - CR contractions

KW - Heisenberg group models

UR - https://www.scopus.com/pages/publications/85182826165

U2 - 10.1007/s10455-023-09941-w

DO - 10.1007/s10455-023-09941-w

M3 - Article

AN - SCOPUS:85182826165

SN - 0232-704X

VL - 65

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 1

M1 - 11

ER -

Almost CR manifolds with contracting CR automorphism

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this