What I Perceive, In Consideration Of When The Ricci Flow Equals The Natural Log Of "U"

 If one were to assign the scalar of the value of the Ricci Flow, to the expression, "the natural log of 'u',"

One is thereby able to consequently, under this inferred initially given condition, to go about at determining the following math, When In Consideration Of A Respective Cartesian Designation:

Also; This Is In Consideration Of A Convergent Designation Of Such A Flow:

1)  e^(the Ricci Flow) = "u."

2a) e^(the del of the Ricci Flow) = The Derivative Of The Inverse Secant Of "u." 

Next; When In Consideration Of A Divergent Designation Of Such A Flow:

2b) e^(the del of the Ricci Flow) = The Derivative Of The Inverse Cosecant Of "u."

Now; let us determine -- When In Consideration Of A Convergent Designation Of Such A Flow, Via A Respective Hyperbolic Designation:

2c) e^(the del of the Ricci Flow) = The Derivative Of The Inverse Hyperbolic Secant Of "u."

Next; let us consider, When In Consideration Of A Divergent Designation Of Such  A Flow, Via A Respective Hyperbolic Designation:

2d) e^(the del of the Ricci Flow) = The Derivative Of The Inverse Hyperbolic Cosecant Of "u."

I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.