Minimal immersion of pseudo-Riemannian manifolds
type: Item
instance of: scholarly article
title: Minimal immersion of pseudo-Riemannian manifolds
zbMATH Open document ID: 0765.53047
published in: Tsukuba Journal of Mathematics
publication date: 1993-02-22T00:00:00Z
review text: Let \(f\) be an isometric immersion of a pseudo-Riemannian manifold in a pseudo-Euclidean space, such that \(\Delta f=bf\), for some constant \(b\neq 0\). The author proves that \(f\) realizes a minimal immersion in a pseudo- Riemannian sphere or in a pseudo-hyperbolic space, provided \(b>0\) or \(b<0\) respectively. Then he obtains the spectrum for both, the pseudo- Riemannian sphere and the pseudo-hyperbolic space.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 109325
zbMATH Keywords: pseudo-Riemannian manifold
zbMATH Keywords: minimal immersion
zbMATH Keywords: spectrum
Wikidata QID: Q115233571
author: Huili Liu
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161826
OpenAlex ID: W1834694525
DOI: 10.21099/TKBJM/1496161826
description: scientific article; zbMATH DE number 109325