The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
type: Item
instance of: scholarly article
title: The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
zbMATH Open document ID: 0786.53030
DOI: 10.1007/BF01199016
published in: Archiv der Mathematik
publication date: 1993-02-10T00:00:00Z
review text: Using the formulas for the Dirac operator on reductive homogeneous spaces and the Frobenius reciprocity, the author calculates the eigenvalues of the Dirac operator on the sphere \(S^ 3\) and its quotient equipped with Berger metrics and studies the behaviour under the collapse onto \(S^ 2\).
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 119841
zbMATH Keywords: reductive homogeneous spaces
zbMATH Keywords: Frobenius reciprocity
zbMATH Keywords: eigenvalues
zbMATH Keywords: Dirac operator
zbMATH Keywords: Berger metrics
author: Christian Bär
reviewed by: Steve Giambrone
MaRDI profile type: Publication
cites work: Q3833203
cites work: Harmonic spinors
cites work: Q5682519
full work available at URL: https://doi.org/10.1007/bf01199016
OpenAlex ID: W2028000385
description: scientific article; zbMATH DE number 119841