  We study a quantum fermion field inside a cylinder in Minkowski space-time.
On the surface of the cylinder, the fermion field satisfies either spectral or
MIT bag boundary conditions. We define rigidly-rotating quantum states in both
cases, assuming that the radius of the cylinder is sufficiently small that the
speed-of-light surface is excluded from the space-time. With this assumption,
we calculate rigidly-rotating thermal expectation values of the fermion
condensate, neutrino charge current and stress-energy tensor relative to the
bounded vacuum state. These rigidly-rotating thermal expectation values are
finite everywhere inside and on the surface of the cylinder and their detailed
properties depend on the choice of boundary conditions. We also compute the
Casimir divergence of the expectation values of these quantities in the bounded
vacuum state relative to the unbounded Minkowski vacuum. We find that the rate
of divergence of the Casimir expectation values depends on the conditions
imposed on the boundary.
