Bi-flat F-structures as differential bicomplexes and Gauss-Manin connections

Alessandro Arsie, Paolo Lorenzoni

We show that a bi-flat F-structure $(\nabla ,\circ ,e,{\nabla }^{\ast },\ast ,E)$ on a manifold $M$ defines a differential bicomplex $(d_{\nabla },d_{E\circ {\nabla }^{\ast }})$ on forms with value on the t…