The Euler Of The Del Of The Ricci Flow

Here is something that I derived, although I lack some confidence as to whether or not this is the case.  Please indicate as to whether or not, that I derived the following right.:

e^(the del of the Ricci Flow) = (the derivative of inverse secant of (e^(the Ricci Flow))).

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