On Boundary Points at Which the Squeezing Function Tends to One

J. E. Fornæss posed the question whether the boundary point of smoothly bounded pseudoconvex domain is strictly pseudoconvex, when the asymptotic limit value of the squeezing function is 1. The purpose of this paper is to give an affirmative answer if the domain is in C 2 with smooth boundary of fin...

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Bibliographic Details
Published in:The Journal of geometric analysis 2018-07, Vol.28 (3), p.2456-2465
Main Authors: Joo, Seungro, Kim, Kang-Tae
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Compressing
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Smooth boundaries
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Summary:J. E. Fornæss posed the question whether the boundary point of smoothly bounded pseudoconvex domain is strictly pseudoconvex, when the asymptotic limit value of the squeezing function is 1. The purpose of this paper is to give an affirmative answer if the domain is in C 2 with smooth boundary of finite type in the sense of D’Angelo (Ann Math (2) 115(3):615–637, 1982 ).
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-017-9910-4