Levi-Civita connections and vector fields for noncommutative differential calculi

Jyotishman Bhowmick, Debashish Goswami, Giovanni Landi

We study covariant derivatives on a class of centered bimodules $\mathcal{E}$ over an algebra A. We begin by identifying a $\mathbb{Z}(A)$-submodule $\mathcal{X}(A)$ which…