A new $\frac{1}{2}$-Ricci type formula on the spinor bundle and applications

Ioannis Chrysikos

Consider a Riemannian spin manifold $(M^n,g)$ $(n\ge 3)$ endowed with a non-trivial 3-form $T\in {\Lambda }^3{T}^{\ast }M$, such that ${\nabla }^{c}T=0$, where $\nabla^{c}:=\nabla^{g}+\frac{1}{…