Graphs with prescribed mean curvature in the sphere
type: Item
instance of: scholarly article
zbMATH Open document ID: 0984.35064
author: Yi-Jung Hsu
author: Sheng-Jong Shiau
author: Tai-Ho Wang
publication date: 2002-05-13T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 1599442
zbMATH Keywords: Riemannian manifold
MaRDI profile type: Publication
title: Graphs with prescribed mean curvature in the sphere
published in: Bulletin of the Institute of Mathematics. Academia Sinica
review text: This paper is devoted to the following problem: is there an embedding \(Y\) from an \(n\)-dimensional Riemannian manifold \(M\) into an \((n+1)\)-dimensional Riemannian manifold \(N\) whose mean curvature is prescribed by function \({\mathcal H}\)? The authors show that for a given function \({\mathcal H}\) on the unit sphere \(S^{n+1}\), there is a unique group over the \(n\)-dimensional unit sphere whose mean curvature coincides with \({\mathcal H}\).
reviewed by: Messoud Efendiev
description: scientific article; zbMATH DE number 1599442