| Download ( PDF | 212kB) |
Harmonic spinors and local deformations of the metric
Ammann, Bernd, Dahl, Matthias and Humbert, Emmanuel (2010) Harmonic spinors and local deformations of the metric. Preprintreihe der Fakultät Mathematik 3/2010, Working Paper. (Submitted)Date of publication of this fulltext: 12 Feb 2010 10:57
Monograph
DOI to cite this document: 10.5283/epub.12849
Abstract
Let (M, g) be a compact Riemannian spin manifold. The Atiyah-
Singer index theorem yields a lower bound for the dimension of the kernel of
the Dirac operator. We prove that this bound can be attained by changing
the Riemannian metric g on an arbitrarily small open set.
Involved Institutions
Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 3/2010 |
| Date | 2010 |
| Institutions | Mathematics > Prof. Dr. Bernd Ammann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Submitted |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Partially |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-128496 |
| Item ID | 12849 |
Export bibliographical data
Owner only: item control page
Download Statistics
Download Statistics