I concur with heating the bamboo. As thin as it is, it shouldn't take long to get hot enough. You want it just hot enough that you can't hold your hand on it.
Bamboo that thin will get hot quickly, but it will cool quickly too, so have everything you need ready to go and make the bend without wasting any time.
I would heat it, press it down into the recurve, hold it there with spring clamps, and let it cool. Leave the first one clamped in place while you do the second. After they're both cooled, remove, glue the whole works, and clamp it up.