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The Dirac spectrum / by Nicolas Ginoux.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1976.Publisher: Berlin ; London : Springer, 2009Copyright date: ©2009Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642015700
  • 3642015700
  • 9783642015694
  • 3642015697
Subject(s): Additional physical formats: Print version:: Dirac spectrum.DDC classification:
  • 530.143 22
LOC classification:
  • QA614.95 .G56 2009
Other classification:
  • 35P15 | 53C27 | 58C40 | 58J32 | 58J50
  • SI 850
  • MAT 537f
  • MAT 580f
  • MAT 358f
Online resources:
Contents:
1 Basics of spin geometry -- 2 Explicit computations of spectra -- 3 Lower eigenvalue estimates on closed manifolds -- 4 Lower eigenvalue estimates on compact manifolds with boundary -- 5 Upper eigenvalue bounds on closed manifolds -- 6 Prescription of eigenvalues on closed manifolds -- 7 The Dirac spectrum on non-compact manifolds -- 8 Other topics related with the Dirac spectrum -- A The twistor and Killing spinor equations.
In: Springer eBooksSummary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references and index.

Print version record.

1 Basics of spin geometry -- 2 Explicit computations of spectra -- 3 Lower eigenvalue estimates on closed manifolds -- 4 Lower eigenvalue estimates on compact manifolds with boundary -- 5 Upper eigenvalue bounds on closed manifolds -- 6 Prescription of eigenvalues on closed manifolds -- 7 The Dirac spectrum on non-compact manifolds -- 8 Other topics related with the Dirac spectrum -- A The twistor and Killing spinor equations.

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.

English.

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