Homogeneous almost complex manifolds and their compact quotients-Reference-Cited by-同舟云学术

Homogeneous almost complex manifolds and their compact quotients

Published:2021-03-29 Issue:06 Volume:32 Page:2150034
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Kim Kang-Tae¹,Lee Kang-Hyurk²,Nagata Yoshikazu³

Affiliation:

1. Department of Mathematics and Center for Geometry and its Applications, Pohang University of Science and Technology, 37673, The Republic of Korea

2. Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju, Gyeongnam 52828, The Republic of Korea

3. Advanced Mathematical Institute, Osaka City University, 558-8585, Japan

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].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500348

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