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A spinorial energy functional: Critical points and gradient flow
Ammann, Bernd, Weiss, Hartmut and Witt, Frederik (2012) A spinorial energy functional: Critical points and gradient flow. Preprintreihe der Fakultät Mathematik 14/2012, Working Paper.Date of publication of this fulltext: 19 Jul 2012 05:37
Monograph
DOI to cite this document: 10.5283/epub.25388
Abstract
On the universal bundle of unit spinors we study a natural energy
functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting
of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
We investigate the basic properties of this functional and study its negative
gradient flow, the so-called spinor flow. In particular, we prove short-time
existence and uniqueness for this flow.
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 14/2012 |
| Date | 2012 |
| Institutions | Mathematics > Prof. Dr. Bernd Ammann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unknown |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-253883 |
| Item ID | 25388 |
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