The nuclear geometric Yang-Mills equation for incompressible nuclei

The geometric Yang-Mills equation for the Bohr-Mottelson collective model provides a way of relating angular momentum degrees of freedom to the internal (Kelvin circulation) degrees of freedom. It is well known that nuclei are highly incompressible. The correct mathematical description for nuclear incompressibility involves an equation of constraint for constant volume. An alternative yet equivalent description involves treating this constraint in a purely differential geometric way. The relationship between these two seemingly different approaches is explored here.