Notes on submanifolds in warped products
type: Item
instance of: scholarly article
title: Notes on submanifolds in warped products
zbMATH Open document ID: 1254.53038
author: Zonglao Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-11T00:00:00Z
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 6005698
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: warped product
zbMATH Keywords: graph
zbMATH Keywords: Gaussian curvature
zbMATH Keywords: minimal submanifold
zbMATH Keywords: totally geodesic submanifold
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.021
OpenAlex ID: W2077193595
cites work: A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
cites work: Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
cites work: Surfaces with constant curvature in \(S^{2}\times \mathbb R\) and \(H^{2}\times \mathbb R\). Height estimates and representation
cites work: Constant mean curvature graphs in a class of warped product spaces
cites work: CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
cites work: Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
cites work: Minimal graphs in \(M \times \mathbb{R}\)
cites work: Riemannian geometry
cites work: Function theory on manifolds which possess a pole
cites work: On subharmonic functions and differential geometry in the large
cites work: Subharmonic functions on real and complex manifolds
cites work: Q3948276
cites work: Stable minimal surfaces in \(M\times \mathbb R\)
cites work: Q3312869
cites work: Minimal surfaces in \(M^2\times \mathbb{R}\)
cites work: Graphs with Parallel Mean Curvature
cites work: Nonexistence of complete conformal metrics with prescribed scalar curvatures on a manifold of nonpositive curvature
DOI: 10.1016/J.JMAA.2011.11.021
description: scientific article; zbMATH DE number 6005698