A spinorial energy functional: critical points and gradient flow
by
Bernd Ammann, Hartmut Weiss, Frederik Witt
A spinorial energy functional: critical points and gradient flow
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Math. Ann. 365 1559-1602 (2016), DOI: 10.1007/s00208-015-1315-8
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dim M ≥ 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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The Paper was written on 16.7.2012
Last update 16.7.2012