1.

Record Nr.

UNISA996466496103316

Autore

Ginoux Nicolas

Titolo

The Dirac Spectrum [[electronic resource] /] / by Nicolas Ginoux

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009

ISBN

1-280-38432-8

9786613562241

3-642-01570-0

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (XV, 156 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1976

Classificazione

35P1553C2758C4058J3258J50

MAT 358f

MAT 537f

MAT 580f

SI 850

Disciplina

530.143

Soggetti

Global analysis (Mathematics)

Manifolds (Mathematics)

Differential geometry

Partial differential equations

Global Analysis and Analysis on Manifolds

Differential Geometry

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.