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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Veröffentlicht in:	The Journal of Geometric Analysis 2018-07, Vol.28 (3), p.2456-2465
Hauptverfasser:	Joo, Seungro, Kim, Kang-Tae
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Zusammenfassung:	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