  For a smooth projective complex variety whose Albanese morphism is finite, we
show that every Bridgeland stability condition on its bounded derived category
of coherent sheaves is geometric, in the sense that all skyscraper sheaves are
stable with the same phase. Furthermore, we describe the stability manifolds of
irregular surfaces and abelian threefolds with Picard rank one, and show that
they are connected and contractible.
