  In this paper, we expand on previous work describing partial derivatives and
metric component estimators to define tangent spaces on causal sets. Partial
derivative operators are the basis vectors of the tangent space, and the metric
defines the inner product. First, we use partial derivatives of the metric
components to define the connection and partial derivatives of the connection
to define the curvature. Numerical results show that both of these approach the
expected values for a flat spacetime as density increases. Then we used the
connection to define parallel transport and geodesics.
