  The method of minimal geometric deformation (MGD) is used to derive static,
strongly gravitating, spherically symmetric, compact stellar distributions that
are solutions of the Yang-Mills-Einstein-Dirac coupled field equations, on
fluid membranes with finite tension. Their solutions characterize MGD
Yang-Mills-Dirac stars, whose mass has order of the Chandrasekhar mass, once
the range of both the fermionic self-interaction and the Yang-Mills coupling
constants is suitably chosen. Physical features of MGD Yang-Mills-Dirac stars
are then discussed, and their ADM mass are derived, as a function of the
fermion coupling constant, the finite brane tension, and the Yang-Mills running
parameter as well.
