School of Mathematical and Statistical Sciences Faculty Publications and Presentations
On the Manifolds with Noncompact Automorphism Groups
Document Type
Article
Publication Date
10-15-2024
Abstract
The Wong-Rosay theorem is a theorem characterizing the strongly pseudoconvex domain in Cn by their automorphism groups. It has a lot of generalizations to other domains (for example, the weakly pseudoconvex domains). However, most of them are those domains of Cn . In this note, we generalize the Wong-Rosay theorem to the simply-connected complete Kähler manifold with negative sectional curvature. One aim of this note is to exhibit a Wong-Rosay type theorem in the manifold with a holomorphic non-invariant metric.
Recommended Citation
Liu, Bingyuan. "On the Manifolds with Noncompact Automorphism Groups." Complex Analysis and Operator Theory 18, no. 8 (2024): 172. https://doi.org/10.1007/s11785-024-01601-6
Publication Title
Complex Analysis and Operator Theory
DOI
https://doi.org/10.1007/s11785-024-01601-6
Comments
Copyright © 2024, The Author(s), under exclusive licence to Springer Nature Switzerland AG
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