The Dirac Spectrum / by Nicolas Ginoux.

Format:

Book

Author/Creator:

Ginoux, Nicolas, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1976.

Lecture Notes in Mathematics, 0075-8434 ; 1976

Language:

English

Subjects (All):

Global analysis (Mathematics).

Global differential geometry.

Differential equations, Partial.

Global Analysis and Analysis on Manifolds.

Differential Geometry.

Partial Differential Equations.

Local Subjects:

Global Analysis and Analysis on Manifolds.

Differential Geometry.

Partial Differential Equations.

Physical Description:

1 online resource (XV, 156 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.

System Details:

text file PDF

Summary:

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.

Contents:

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.

Other Format:

Printed edition:

ISBN:

9783642015700

Access Restriction:

Restricted for use by site license.