The Burns-Krantz Type Rigidity for Domains With Corners

First, we extend the Burns-Krantz rigidity for the unit disk to domains with corners. Then, we prove the Burns-Krantz type rigidity for some fibered domains over these one-dimensional domains with corners.

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Bibliographic Details
Published in:The Journal of geometric analysis 2024-05, Vol.34 (5), Article 143
Main Author: Rong, Feng
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Corners
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Rigidity
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Description
Summary:First, we extend the Burns-Krantz rigidity for the unit disk to domains with corners. Then, we prove the Burns-Krantz type rigidity for some fibered domains over these one-dimensional domains with corners.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-024-01597-7