Unique continuation of weakly conformal mappings between Riemannian manifolds
type: Item
instance of: scholarly article
title: Unique continuation of weakly conformal mappings between Riemannian manifolds
zbMATH Open document ID: 0874.53011
author: Yifei Pan
published in: Rocky Mountain Journal of Mathematics
publication date: 1997-10-14T00:00:00Z
review text: A smooth map \(\phi: M \rightarrow N\) between two Riemannian manifolds \((M,g)\) and \((N,h)\) is called weakly conformal if \(\phi^* h=\lambda g\) for a smooth and non-negative function \(\lambda.\) If the dimensions of \(M\) and \(N\) coincide, it is shown that \(\phi\) satisfies the unique continuation property, i.e., the map \(\phi\) is constant if the conformal factor \(\lambda\) vanishes at a point \(p\) to infinite order.
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 894662
zbMATH Keywords: weakly conformal mapping
zbMATH Keywords: unique continuation
reviewed by: Hans-Bert Rademacher
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072157
OpenAlex ID: W2042258400
Wikidata QID: Q115239926
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DOI: 10.1216/RMJM/1181072157
description: scientific article; zbMATH DE number 894662