TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - The Dirac Spectrum
T2  - Lecture Notes in Mathematics,
SN  - 9783642015700
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis
KW  - Differential equations, partial
KW  - Global differential geometry
KW  - Partial Differential Equations
KW  - Differential Geometry
KW  - Global Analysis and Analysis on Manifolds
N1  - 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; ZDB-2-SMA; ZDB-2-LNM
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-642-01570-0
ER  -