The Dirac Spectrum

This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapt...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Ginoux, Nicolas (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Édition:1st ed. 2009.
Collection:Lecture Notes in Mathematics, 1976
Sujets:
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Differential equations.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Differential Equations.
Accès en ligne:Texto Completo
Description
Résumé:This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.
Description matérielle:XV, 156 p. online resource.
ISBN:9783642015700
ISSN:1617-9692 ;

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