Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
type: Item
instance of: scholarly article
title: Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
zbMATH Open document ID: 0755.53009
DOI: 10.1007/BF02099184
author: Jean Pierre Bourguignon
author: Paul Gauduchon
published in: Communications in Mathematical Physics
publication date: 1992-09-26T00:00:00Z
review text: The construction of a spinor bundle over a Riemannian spin manifold depends on the given metric. In this article a geometric process to compare spinor fields for different metrics is described. As an application one can study how the eigenvalues of the Dirac operator depend on the metric. A few cases are discussed in which the eigenvalues are critical for arbitrary volume preserving variations of the metric.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 58C40
zbMATH DE Number: 54761
zbMATH Keywords: volume preserving variations of the metric
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02099184
OpenAlex ID: W2073865550
description: scientific article; zbMATH DE number 54761