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Let (M,g) be a spin manifold with spinorial connections ∇ on the spinors bundle. I define the Killing flow of spinorial connections by the following equation:
∂∇X∂tψ=μX.ψ
Have we solutions for the Killing flow of spinorial connections?
The Killing flow of spinorial connections is in fact:
∇X(t)=∇X(0)+μtX
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