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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ginoux, Nicolas (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Lecture Notes in Mathematics, 1976
Temas:
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Differential equations.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

Ejemplares similares