This uses thinly sliced veneers called "Construction Veneers" glued together and bent around a former to create the desired curve.
Steam Bending:
Using a steam box to put the timber into and something to generate steam, this method softens the lignins in the timber to allow it to bend around a former.
Coopering:
Whist not technically bending, separate boards are cut to specific angles to create a curve or even a full circle. For example, when making Barrels.