---

＜E-Book＞
The Dirac Spectrum / by Nicolas Ginoux
(Lecture Notes in Mathematics. ISSN:16179692 ; 1976)

Edition	1st ed. 2009.
Publisher	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Year	2009
Language	English
Size	XV, 156 p : online resource
Authors	*Ginoux, Nicolas author SpringerLink (Online service)
Subjects	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential LCSH:Differential equations FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry FREE:Differential Equations
Notes	Basics of spin geometry -- Explicit computations of spectra -- Lower eigenvalue estimates on closed manifolds -- Lower eigenvalue estimates on compact manifolds with boundary -- Upper eigenvalue bounds on closed manifolds -- Prescription of eigenvalues on closed manifolds -- The Dirac spectrum on non-compact manifolds -- Other topics related with 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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-01570-0

 Similar Items