Stability of the Spinor Flow

Abstract

We show stability of pairs of Ricci flat metrics and parallel spinor fields with respect to the spinor flow, i.e. we show that the spinor flow with initial conditions near such pairs converges to a critical point with exponential speed. Moreover, we show stability of certain volume constrained critical points of the spinorial energy.

22 pages

Cited by in corpus (1)

• Regularity estimates for the gradient flow of a spinorial energy functional