A spinorial energy functional: critical points and gradient flow
Differential Geometry
2018-11-13 v2 Analysis of PDEs
Abstract
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dim M \geq 3, are precisely the pairs (g, {\phi}) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor {\phi}. 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.
Keywords
Cite
@article{arxiv.1207.3529,
title = {A spinorial energy functional: critical points and gradient flow},
author = {Bernd Ammann and Hartmut Weiss and Frederik Witt},
journal= {arXiv preprint arXiv:1207.3529},
year = {2018}
}
Comments
Small changes, final version