Swamped right now, but it's fairly simple. Sketch 3/4 of a circle on the top plane, sketch a shallow arc on the right plane (same length front to back) and then use the intersect tool to intersect the two.
You have to be careful about running the ends beyond the surface. If you check both options in the wrap feature, it may ignore it. However, I have also had it fail. I measured the length of the surface to use in the "U" shaped sketch in the included example.
One thing, depending on the desired result, you either want a wrapped curve, or a projected curve. Wrap does exactly that, preserving the overall length of the curve. Project does what Antonius did first with the intersection of two curves, which will stretch/distort the overall length.
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