Bounded p.s.h. functions and pseudoconvexity in Kähler manifold-Reference-Cited by-同舟云学术

Bounded p.s.h. functions and pseudoconvexity in Kähler manifold

Published:1998-03 Issue: Volume:149 Page:1-8
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Ohsawa Takeo,Sibony Nessim

Abstract

Abstract.It is proved that the C2-smoothly bounded pseudoconvex domains in Pn admit bounded plurisubharmonic exhaustion functions. Further arguments are given concerning the question of existence of strictly plurisubharmonic functions on neighbourhoods of real hypersurfaces in Pn.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Domaines pseudoconvexes infinis et la m\'etrique riemannienne dans un espace projectif

2. Pseudoconvexit� au-dessus d'espaces plus ou moins homog�nes

3. On Kähler Manifolds of positive bisectional curvature and a theorem of Hartogs

4. The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature

5. Pseudo-convexité locale dans les variétés kahlériennes

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