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Quick question on formula

  1. Jun 2, 2007 #1
    Suppose that I have an expression of the following form:

    [tex]g_{ik}(x)\pi^{kp}(x') \left( \frac{\partial}{\partial x^p}\frac{\partial}{\partial x'^j} - \frac{\partial}{\partial x^j}\frac{\partial}{\partial x'^p}\right) \delta(x,x')[/tex]

    where [itex]g_{ij}[/itex] and [itex]\pi^{ij}(x)[/itex] are tensors and their position-dependence is indicated in the brackets, and [itex]\delta(x,x')[/itex] is the three-dimensional Dirac distribution on a given manifold. My question is, does the above expression vanish identically?
  2. jcsd
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