Relative nullity foliations and indefinite isometric immersions
type: Item
instance of: scholarly article
title: Relative nullity foliations and indefinite isometric immersions
zbMATH Open document ID: 0604.53020
author: Kinetsu Abe
author: M. Magid
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: This paper investigates the relative nullity distribution of an indefinite Riemannian manifold isometrically immersed into an indefinite space form. This distribution is totally geodesic, and gives rise to a Riccati-type differential equation along a geodesic in a leaf of the distribution. This differential equation is applied in several ways to estimate the index of relative nullity for geodesically complete, connected, Lorentzian submanifolds of codimension one in the Lorentzian space forms of constant positive curvature. These applications extend work of Abe, Ferus, and others to the setting of indefinite metrics.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 3975797
zbMATH Keywords: relative nullity index
zbMATH Keywords: nullity distribution
zbMATH Keywords: Lorentzian submanifolds
zbMATH Keywords: indefinite metrics
MaRDI profile type: Publication
full work available at URL: pjm.1986.124.1
OpenAlex ID: W2128086008
DOI: 10.2140/PJM.1986.124.1
description: scientific article; zbMATH DE number 3975797