Remarks on subharmonic functions on Riemannian manifolds
type: Item
instance of: scholarly article
title: Remarks on subharmonic functions on Riemannian manifolds
zbMATH Open document ID: 0535.31003
DOI: 10.1007/BF01766020
author: Giuliana Gigante
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1983-01-01T00:00:00Z
review text: The author gives conditions to insure that on a complete Riemannian manifold M a continuous subharmonic function is constant. As applications she obtains conditions implying that M has infinite volume; and the finite dimensionality of the space of vector bundle valued harmonic 1- forms of Lebesgue class \(L^ q (1<q\leq 2)\)-real and Kähler contexts. This work has some overlap with an (unpublished) manuscript of H. H. Wu; the methods, however, are different.
Mathematics Subject Classification ID: 31C12
Mathematics Subject Classification ID: 31C05
zbMATH DE Number: 3849593
zbMATH Keywords: harmonic map
zbMATH Keywords: complete Riemannian manifold
zbMATH Keywords: subharmonic function
Wikidata QID: Q115393187
reviewed by: J. Eells
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3849593