Named after Vincenzo Viviani - Italian physicist, mathematician (1622-1703).
Viviani is a small lunar impact crater that lies on the far side. It is located due west of the prominent crater King, and just to the southeast of Katchalsky. This is a roughly circular, bowl-shaped crater with a well-defined rim edge and an inner wall that is wider along the southeastern half. A small crater has cut into the southern rim edge, and another small crater is attached to the exterior along the east. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.