  We consider the Symmetric Exclusion Process on a compact Riemannian manifold,
as introduced in van Ginkel and Redig (2020). There it was shown that the
hydrodynamic limit satisfies the heat equation. In this paper we study the
equilibrium fluctuations around this hydrodynamic limit. We define the
fluctuation fields as functionals acting on smooth functions on the manifold
and we show that they converge in distribution in the path space to a
generalized Ornstein-Uhlenbeck process. This is done by proving tightness and
by showing that the limiting fluctuations satisfy the corresponding martingale
problem.
