The Dirac Spectrum

  • Authors
  • Nicolas Ginoux

Part of the Lecture Notes in Mathematics book series (LNM, volume 1976)

Table of contents

  1. Front Matter
    Pages 1-11
  2. Nicolas Ginoux
    Pages 1-27
  3. Nicolas Ginoux
    Pages 29-39
  4. Nicolas Ginoux
    Pages 77-92
  5. Nicolas Ginoux
    Pages 103-111
  6. Nicolas Ginoux
    Pages 113-129
  7. Back Matter
    Pages 1-32

About this book

Introduction

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.

Keywords

Spinor global analysis manifold spectral geometry spin geometry

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-01570-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-01569-4
  • Online ISBN 978-3-642-01570-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book