What is the little bear constellation called in greek?

There are a number of variants

Cynosura was a title for the whole constellation of Ursa Minor in Greek classical times, but now refers to the "dog's tail" - Polaris. (Which if you observe Ursa Minor, the tail does seem to be rather long for a bear)

Kunosouris or Kunosoura from from Greek kuon, dog, and oura, tail

Arcas where the constellation represented the son of the Zeus, not a dog or bear.

Ursa Minor was also named the Dragon's wing, and was considered a part of Draco.

Other somewhat dubious ones are:

Aukosoura - Tail, or train of light)
Arktos which was also represented by Ursa Major.