ENGLISH

The Dirac spectrum

By Nicolas Ginoux (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
3642015697, 9783642015694, 3642015700, 9783642015700
DOI
10.1007/978-3-642-01570-0
ISSN
0075-8434
Language
english
Format
PDF
Filesize
1 MB (1257623 bytes)
Series
Lecture notes in mathematics 1976
Edition
1
Pages
156\168
Library
Kolxo3
Time added
2009-12-04 00:34:26
Partial Differential Equations; Differential Geome

Description

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.

Similar books