On some submanifolds with flat space-like normal bundle in pseudo-Riemannian space forms
type: Item
instance of: scholarly article
title: On some submanifolds with flat space-like normal bundle in pseudo-Riemannian space forms
zbMATH Open document ID: 0947.53010
author: V. Pereyra
published in: Southeast Asian Bulletin of Mathematics
publication date: 2000-11-01T00:00:00Z
review text: The author studies isometric immersions with parallel mean curvature vector field and flat normal bundle of pseudo-Riemannian spaces \(M_s^n(c)\) of constant sectional curvature \(c\) into pseudo-Riemannian space forms \(Q_s^N(\widetilde{c}).\) Some classification results are given for special cases, for example, (1) all the principle curvatures are real and simple; (2) \(N=n+1;\) or, (3) \(M_s^n(c)\) and \(Q_s^N(\widetilde{c})\) are semi-Euclidean space.
reviewed by: Jitan Lu
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1333198
zbMATH Keywords: isometric immersion
zbMATH Keywords: pseudo-Riemannian space
zbMATH Keywords: parallel mean curvature vector field
zbMATH Keywords: flat normal bundle
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1333198