On the generic eigenvalue flow of a family of metrics and its application
type: Item
instance of: scholarly article
title: On the generic eigenvalue flow of a family of metrics and its application
zbMATH Open document ID: 0932.58027
published in: Communications in Analysis and Geometry
publication date: 2000-03-06T00:00:00Z
review text: Let \( M \) be a compact manifold with \( \partial M = \emptyset \) and \( g(t) \) a family of metrics on \( M \) depending continuously on the parameter \( t\). The author defines a generic eigenvalue flow associated to \( g(t) \) and proves that the corresponding eigenfunction is continuous with respect to the parameter \( t\). Then he applies this result to the study of the polynomial growth of the harmonic functions on a complete manifold.
Mathematics Subject Classification ID: 58J30
zbMATH DE Number: 1309813
zbMATH Keywords: eigenvalue flow
zbMATH Keywords: metrics
zbMATH Keywords: eigenfunctions
author: Liqun Zhang
reviewed by: Mircea Puta
MaRDI profile type: Publication
full work available at URL: cag.1999.v7.n2.a2
OpenAlex ID: W146867810
DOI: 10.4310/CAG.1999.V7.N2.A2
description: scientific article; zbMATH DE number 1309813