Nonproper Action of Automorphism Groups on Almost CR Manifolds

Jae Cheon Joo

doi:10.1007/978-981-96-0447-0_8

Nonproper Action of Automorphism Groups on Almost CR Manifolds

Jae Cheon Joo^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We review the brief history about the characterization of CR and almost CR manifolds with nonproper action of the automorphism group. We also review the recent result ([11]) on characterizing almost CR manifolds with contracting automorphisms with a sketch of proof.

Original language	English
Title of host publication	Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022
Editors	Toshiyuki Sugawa, Young-Jun Choi, Sung-Yeon Kim, Kang-Tae Kim, Aeryeong Seo, Jisoo Byun, Jong-Do Park, Armen G. Sergeev, Kang-Hyurk Lee
Publisher	Springer
Pages	95-102
Number of pages	8
ISBN (Print)	9789819604463
DOIs	https://doi.org/10.1007/978-981-96-0447-0_8
State	Published - 2025
Event	Conference on Complex Geometric Analysis, CCGA 2022 - Pohang, Korea, Republic of Duration: 11 Jan 2022 → 14 Jan 2022

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	481
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Conference on Complex Geometric Analysis, CCGA 2022
Country/Territory	Korea, Republic of
City	Pohang
Period	11/01/22 → 14/01/22

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.

Keywords

32M05
32V05
53C56
Almost CR manifolds
CR automorphism groups
Contracting automorphisms
Generalized heisenberg groups

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-981-96-0447-0_8

Cite this

Joo, J. C. (2025). Nonproper Action of Automorphism Groups on Almost CR Manifolds. In T. Sugawa, Y.-J. Choi, S.-Y. Kim, K.-T. Kim, A. Seo, J. Byun, J.-D. Park, A. G. Sergeev, & K.-H. Lee (Eds.), Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022 (pp. 95-102). (Springer Proceedings in Mathematics and Statistics; Vol. 481). Springer. https://doi.org/10.1007/978-981-96-0447-0_8

Joo, Jae Cheon. / Nonproper Action of Automorphism Groups on Almost CR Manifolds. Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. editor / Toshiyuki Sugawa ; Young-Jun Choi ; Sung-Yeon Kim ; Kang-Tae Kim ; Aeryeong Seo ; Jisoo Byun ; Jong-Do Park ; Armen G. Sergeev ; Kang-Hyurk Lee. Springer, 2025. pp. 95-102 (Springer Proceedings in Mathematics and Statistics).

@inproceedings{a1e177c7305049b29518d9c154ce9292,

title = "Nonproper Action of Automorphism Groups on Almost CR Manifolds",

abstract = "We review the brief history about the characterization of CR and almost CR manifolds with nonproper action of the automorphism group. We also review the recent result ([11]) on characterizing almost CR manifolds with contracting automorphisms with a sketch of proof.",

keywords = "32M05, 32V05, 53C56, Almost CR manifolds, CR automorphism groups, Contracting automorphisms, Generalized heisenberg groups",

author = "Joo, \{Jae Cheon\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.; Conference on Complex Geometric Analysis, CCGA 2022 ; Conference date: 11-01-2022 Through 14-01-2022",

year = "2025",

doi = "10.1007/978-981-96-0447-0\_8",

language = "English",

isbn = "9789819604463",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "95--102",

editor = "Toshiyuki Sugawa and Young-Jun Choi and Sung-Yeon Kim and Kang-Tae Kim and Aeryeong Seo and Jisoo Byun and Jong-Do Park and Sergeev, \{Armen G.\} and Kang-Hyurk Lee",

booktitle = "Complex Geometric Analysis - In Honor of Kang-Tae Kim{\textquoteright}s 65th Birthday, 2022",

address = "Germany",

}

Joo, JC 2025, Nonproper Action of Automorphism Groups on Almost CR Manifolds. in T Sugawa, Y-J Choi, S-Y Kim, K-T Kim, A Seo, J Byun, J-D Park, AG Sergeev & K-H Lee (eds), Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. Springer Proceedings in Mathematics and Statistics, vol. 481, Springer, pp. 95-102, Conference on Complex Geometric Analysis, CCGA 2022, Pohang, Korea, Republic of, 11/01/22. https://doi.org/10.1007/978-981-96-0447-0_8

Nonproper Action of Automorphism Groups on Almost CR Manifolds. / Joo, Jae Cheon.
Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. ed. / Toshiyuki Sugawa; Young-Jun Choi; Sung-Yeon Kim; Kang-Tae Kim; Aeryeong Seo; Jisoo Byun; Jong-Do Park; Armen G. Sergeev; Kang-Hyurk Lee. Springer, 2025. p. 95-102 (Springer Proceedings in Mathematics and Statistics; Vol. 481).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Nonproper Action of Automorphism Groups on Almost CR Manifolds

AU - Joo, Jae Cheon

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.

PY - 2025

Y1 - 2025

N2 - We review the brief history about the characterization of CR and almost CR manifolds with nonproper action of the automorphism group. We also review the recent result ([11]) on characterizing almost CR manifolds with contracting automorphisms with a sketch of proof.

AB - We review the brief history about the characterization of CR and almost CR manifolds with nonproper action of the automorphism group. We also review the recent result ([11]) on characterizing almost CR manifolds with contracting automorphisms with a sketch of proof.

KW - 32M05

KW - 32V05

KW - 53C56

KW - Almost CR manifolds

KW - CR automorphism groups

KW - Contracting automorphisms

KW - Generalized heisenberg groups

UR - https://www.scopus.com/pages/publications/105002015198

U2 - 10.1007/978-981-96-0447-0_8

DO - 10.1007/978-981-96-0447-0_8

M3 - Conference contribution

AN - SCOPUS:105002015198

SN - 9789819604463

T3 - Springer Proceedings in Mathematics and Statistics

SP - 95

EP - 102

BT - Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022

A2 - Sugawa, Toshiyuki

A2 - Choi, Young-Jun

A2 - Kim, Sung-Yeon

A2 - Kim, Kang-Tae

A2 - Seo, Aeryeong

A2 - Byun, Jisoo

A2 - Park, Jong-Do

A2 - Sergeev, Armen G.

A2 - Lee, Kang-Hyurk

PB - Springer

T2 - Conference on Complex Geometric Analysis, CCGA 2022

Y2 - 11 January 2022 through 14 January 2022

ER -