  We show that a Minkowski phase space endowed with a bracket relatively to a
conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian
structure to the resulting manifold. We infer that the related Hamiltonian
vector field is an infinitesimal Noether symmetry, and compute the
corresponding deformed recursion operator. Besides, using the
Hamiltonian-Jacobi separability, we construct recursion operators for
Hamiltonian vector fields in conformable Poisson-Schwarzschild and
Friedmann-Lema\^itre-Robertson-Walker (FLRW) manifolds, and derive related
constants of motion, Christoffel symbols, components of Riemann and Ricci
tensors, Ricci constant and components of Einstein tensor. We highlight the
existence of a hierarchy of bi-Hamiltonian structures in both the manifolds,
and compute a family of recursion operators and master symmetries generating
the constants of motion.
