Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
type: Item
instance of: scholarly article
title: Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
zbMATH Open document ID: 1031.53043
DOI: 10.1007/PL00012538
published in: Journal of Geometry
publication date: 2004-03-04T00:00:00Z
review text: The author calls a submanifold \(T\)-constant (respectively \(N\)-constant) if the tangential component (respectively, the normal component) of its position function has constant length. Space-like submanifolds of a pseudo-Euclidean space which are \(T\)-constant or \(N\)-constant are classified. Several examples are given.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 1890531
zbMATH Keywords: position function
zbMATH Keywords: light cone
zbMATH Keywords: conic submanifold
zbMATH Keywords: pseudo-Riemannian sphere
zbMATH Keywords: pseudo-hyperbolic space
Wikidata QID: Q115390536
author: Bang-Yen Chen
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
full work available at URL: pl00012538
OpenAlex ID: W2073422216
Recommended article: Q5259402
Recommended article: Geometry of Pseudo-Finsler Submanifolds
Recommended article: Q3742265
Recommended article: Geodesic mappings of pseudo-Riemannian manifolds
Recommended article: Geometry of Cauchy-Riemann Submanifolds
Recommended article: The geometry of submanifolds of a pseudo-Euclidean space \(E^ n_{2n}\)
Recommended article: Geometry of submanifolds in Euclidean spaces
Recommended article: Q4513498
Recommended article: Geometry of submanifolds in terms of behavior of geodesics
Recommended article: Q5405635
description: scientific article; zbMATH DE number 1890531