Some Cool Stuff, As To The Ricci Flow

 Let's say that the expression, (e^(Ricci Flow)), is here to be equal to a scalar-based value, -- of which we will arbitrarily term of here, as being expressed as: u(rho sub n (direction)); To where, if one were therefore to have an interdependent covariant metric-gauge-related pulsation, that were to be formed, between two different cohesive sets of discrete energy quanta, to where such a stated pulsation, were here to be brought into a state of fruition, (as a resultant Yukawa Coupling), by the metric-gauging of a correlative proximal adjacent group-attractor, -- to where one may then say, that, if such a said resulting metric-gauge-related pulsation, were here to be of a cartesian nature, -- that it will thereby follow, that:  (1/(e^(the del of the Ricci Flow))) = (1/(d(inverse secant of e^(the Ricci Flow))). THANK YOU MUCH!  I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.