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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.

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Date of publication of this fulltext: 19 Jul 2012 05:37


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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:25388
Owner only: item control page


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