Part Three of the Eighth session of Course 17 About the Ricci Scalar

Njenhuis-based perturbative oscillations are vibrations that are off of the relative Real Reimmanian Plane.  So, a singularity that is not hermitian, yet is also not perturbative in a Lagrangian-based tense -- is either not topologically smooth, on account of some degree or other of Njenhuis projection, or, its annharmonic vibration is on the relative Real Reimmanian Plane.  Chern-Simmons singularities are thus never Yau-Exact, and thus, superstrings that -- over a specific duration in which these may here be considered -- display Chern-Simmons singularities, that are, at such a metrical-based involvement, never Yau-Exact then.  Chern-Simmons singularities are either not topologically smooth, or else their vibrations are annharmonic -- if not both.  Generally, Chern-Simmons singularities are not topologically smooth.  Partially hermitian Chern-Simmons singularities are often of this sort, due to permutations in the field of the given singularities.  Partially perturbative singularities are often singularities that vibrate harmonically, yet off of the Real Reimmanian Plane -- during the correlative iterations of group instanton that appertain to the conditionality of such a tense of singularity.  Only Ricci Scalar eigenstates that directly appertain to the activity that appertains to a mass, are completely hermitian, and thus, only Ricci Scalar eigenstates that directly appertain to the activity that appertains to a mass bear Yau-Exact singularities.  This is why any discrete quantum of mass -- that behaves as a mass -- is considered to be Yau-Exact.  A Yau-Exact quantum exists in manifolds known of as Calabi-Manifolds.  This general format of a Calabi-based manifold is the cohomological extrapolation of the mappable tracing as to what, where, and how the ghost-based indices of the existence of superstrings of mass had behaved over any extrapolation of any given arbitrary Sterling Approximation of any given superstrings of mass -- as these have then here respectively behaved over any correlative time-line.  To Be Continued!!!Sam Roach.