scholarly journals Pseudoconvex domains of general order in Stein manifolds

1989 ◽  
Vol 43 (2) ◽  
pp. 67-76 ◽  
Author(s):  
Kazuko MATSUMOTO
Keyword(s):  
Pseudoconvex Domains ◽  
Stein Manifolds ◽  
General Order

scholarly journals Semi-continuity of the Diederich–Fornaess and Steinness indices

2020 ◽  
Vol 31 (13) ◽  
pp. 2050107
Author(s):  
Young-Jun Choi ◽  
Jihun Yum
Keyword(s):  
Pseudoconvex Domains ◽  
Stein Manifolds ◽  
Continuity Theorem ◽  
Smooth Deformation

In this paper, we prove the semi-continuity theorem of Diederich–Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.

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