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De Rham theorem

  1. Nov 25, 2008 #1
    de Rham theorem....

    hello Forum,

    could someone explain in simple terms how the de Rham theorem relates to homotopy and line integrals in calculus, and conservative vector fields?

    I know that if the curl of vector field is zero, then it isn't a conservative field necessarily...more conditions are needed (simple connectedness).

  2. jcsd
  3. Nov 26, 2008 #2


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    Re: de Rham theorem....

    read spivak's differential geometry, volume 1.
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