  The masses of supermassive black holes (SBHs) show correlations with bulge
properties in disk and elliptical galaxies. We study the formation of galactic
structure within flat-core triaxial haloes and show that these correlations can
be understood within the framework of a baryonic component modifying the
orbital structure in the underlying potential. In particular, we find that
terminal properties of bulges and their central SBHs are constrained by the
destruction of box orbits in the harmonic cores of dark haloes and the
emergence of progressively less eccentric loop orbits there. SBH masses, M_SBH,
should exhibit a tighter correlation with bulge velocity dispersions, sigma_B,
than with bulge masses, M_B, in accord with observations, if there is a
significant scatter in the M_H-sigma_H relation for the halo. In the context of
this model the observed M_SBH-sigma_B relation implies that haloes should
exhibit a Faber-Jackson type relationship between their masses and velocity
dispersions. The most important prediction of our model is that halo properties
determine the bulge and SBH parameters. The model also has important
implications for galactic morphology and the process of disk formation.
