Open Access
VOL. 72 | 2017 On a global estimate of the Diederich–Fornaess index of Levi-flat real hypersurfaces
Masanori Adachi

Editor(s) Taro Asuke, Shigenori Matsumoto, Yoshihiko Mitsumatsu

Adv. Stud. Pure Math., 2017: 259-268 (2017) DOI: 10.2969/aspm/07210259

Abstract

In this paper, we review a recent progress of the study of the Diederich–Fornaess index of complex domains with emphasis on the case of domains with Levi-flat boundary. It is exhibited that for any compact Levi-flat real hypersurface, the norm of its infinitesimal holonomy must exceed the curvature of its normal bundle at a point.

Information

Published: 1 January 2017
First available in Project Euclid: 4 October 2018

zbMATH: 1387.32037
MathSciNet: MR3726714

Digital Object Identifier: 10.2969/aspm/07210259

Subjects:
Primary: 32T27
Secondary: 32V15 , 37F75

Keywords: Diederich–Fornaess index , Levi-flat , normal bundle

Rights: Copyright © 2017 Mathematical Society of Japan

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