Space-like submanifolds with constant scalar curvature in the de Sitter spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0985.53032
DOI: 10.4134/JKMS.2010.47.1.135
published in: Journal of the Korean Mathematical Society
publication date: 2002-05-27T00:00:00Z
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1588112
zbMATH Keywords: space-like submanifold
author: Ximin Liu
MaRDI profile type: Publication
title: Space-like submanifolds with constant scalar curvature in the de Sitter spaces
review text: An \((n+p)\)-dimensional connected semi-Riemannian manifold of index \(p\) and positive constant scalar curvature is said to be a de Sitter space of index \(p\). The paper contains the studies of the rigidity problem for space-like submanifolds with constant scalar curvature in a de Sitter space. The author extends \textit{S.-Y. Cheng} and \textit{S.-T. Yau}'s technique [Math. Ann. 225, 195-204 (1977; Zbl 0349.53041)] to higher codimensions.
reviewed by: Włodzimierz Waliszewski
description: scientific article