Spectral geometry for Riemannian foliations
type: Item
instance of: scholarly article
title: Spectral geometry for Riemannian foliations
zbMATH Open document ID: 0766.53022
DOI: 10.1007/BF00136871
author: Seiki Nishikawa
author: Philippe Tondeur
author: Lieven Vanhecke
published in: Annals of Global Analysis and Geometry
publication date: 1993-02-25T00:00:00Z
review text: For a Riemannian foliation on a Riemannian manifold with bundle-like metric one can define the Jacobi operator acting on sections of the normal bundle. In this paper geometric properties of Riemannian foliations for which the spectra of the Jacobi operator and the Laplace operator on functions coincide are discussed.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 109073
zbMATH Keywords: Riemannian foliation
zbMATH Keywords: bundle-like metric
zbMATH Keywords: Jacobi operator
zbMATH Keywords: spectra
zbMATH Keywords: Laplace operator
Wikidata QID: Q115395202
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00136871
OpenAlex ID: W2077075421
description: scientific article; zbMATH DE number 109073