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math.DG2012★ 27 cited
A spinorial energy functional: critical points and gradient flow
Bernd Ammann, Hartmut Weiss, Frederik Witt
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, ϕ) consisting of a Ricci-flat Riema…
math.DG2012★ 3 cited
Energy functionals and soliton equations for G_2-forms
Hartmut Weiss, Frederik Witt
We extend short-time existence and stability of the Dirichlet energy flow as proven in a previous paper by the authors to a broader class of energy functionals. Furthermore, we der…