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Pullback - a mathematical puzzler

  1. Feb 18, 2008 #1
    Hi y'all. Carlo T here with a little mathematical puzzler.

    Here's the big ol' question, are you folks ready?

    let phi:(0, infty)x(0, 2*pi)x(-pi/2, pi/2)->R^3 be defined by
    phi(r,alpha,beta)=(r*cos(alpha)*cos(beta), r*sin(alpha)*cos(beta), r*sin(beta)).

    Calculate the pullback phi*(xdy)

    I've calculated phi*(dx), phi*(dy) and phi*(dz) but am not sure where to go from here.

    For example, is there a way of rewriting phi*(xdy) using one of the pullback properties?

    Get your noggins round that one brothers.

    Peace out, from the C to the T to the remBath!!!
  2. jcsd
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