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Homogeneous almost complex manifolds and their compact quotients

Authors
Kim, Kang-TaeLee, Kang-HyurkNagata, Yoshikazu
Issue Date
May-2021
Publisher
World Scientific Publishing Co
Keywords
J-automorphism; compact quotient
Citation
International Journal of Mathematics, v.32, no.06
Indexed
SCIE
SCOPUS
Journal Title
International Journal of Mathematics
Volume
32
Number
06
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/3819
DOI
10.1142/S0129167X21500348
ISSN
0129-167X
1793-6519
Abstract
This paper investigates the (non)existence of compact quotients of the homogeneous almost-complex strongly-pseudoconvex manifolds discovered and classified by Gaussier-Sukhov [Wong-Rosay theorem in almost complex manifolds, http:www. arXiv.org:math.CV/0307335; On the geometry of model almost complex manifolds with boundary, Math. Z. 254(3) (2006) 567-589] and Lee [Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point, Michigan Math. J. 54(1) (2006) 179-205; Strongly pseudoconvex homogeneous domains in almost complex manifolds, J. Reine Angew. Math. 623 (2008) 123-160].
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