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I have a vector field described by a complex potential function (so I have potential lines and streamlines). I am looking for a way to express its curvature at every point, but I can't find such a formula in my books. I have searched in wikipedia and I read that the way to define it in cartesian coordinates is through a parametric curve, but I'm not sure how I should go about it in the complex plane.

If anyone can give me a pointer on how to derive the curvature of the field or to relevant reading material, I would be grateful

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# Vector field curvature in the complex plane

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