Pluriharmonic functions on abstract CR manifolds
type: Item
instance of: scholarly article
title: Pluriharmonic functions on abstract CR manifolds
zbMATH Open document ID: 0872.32005
DOI: 10.1007/BF01758996
author: Costantino Medori
author: Mauro Nacinovich
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1997-09-22T00:00:00Z
review text: The problem of characterizing the restrictions of pluriharmonic functions to abstract \(CR\) manifolds of arbitrary \(CR\) codimension is studied. The notions of \(CR\) gauges and transversal 1-jets are introduced, the pluriharmonic functions are defined, and the decompositions and extension theorems are proved. The cohomology groups with coefficients in the sheaf of pluriharmonic functions and cohomology groups associated to related differential complexes are discussed.
Mathematics Subject Classification ID: 32V99
zbMATH DE Number: 1000269
zbMATH Keywords: pluriharmonic functions
zbMATH Keywords: \(CR\) manifolds
zbMATH Keywords: \(q\)-pseudoconvexity
zbMATH Keywords: \(q\)-pseudoconcavity
zbMATH Keywords: \(CR\)-structures
zbMATH Keywords: jets
zbMATH Keywords: de Rham theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1000269