This volume surveys the spectral properties of the spin Dirac operator. Aftera 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 analyticaltechniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included. INDICE: 1 Basics of spin geometry.- 2 Explicit computations of spectra.- 3Lower eigenvalue estimates on closed manifolds.- 4 Lower eigenvalue estimateson compact manifolds with boundary.- 5 Upper eigenvalue bounds on closed manifolds.- 6 Prescription of eigenvalues on closed manifolds.- 7 The Dirac spectrum on non-compact manifolds.- 8 Other topics related with the Dirac spectrum.-A The twistor and Killing spinor equations.
- ISBN: 978-3-642-01569-4
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 150
- Fecha Publicación: 01/06/2009
- Nº Volúmenes: 1
- Idioma: Inglés