  This paper establishes the well-posedness of reflected backward stochastic
differential equations in the non-convex domains that satisfy a weaker version
of the star-shaped property. The main results are established (i) in a
Markovian framework with H\"older-continuous generator and terminal condition
and (ii) in a general setting under a smallness assumption on the input data.
We also investigate the connections between this well-posedness result and the
theory of martingales on manifolds.
