From the Super Mario Wiki
Baron Brrr is a boss in Super Mario Galaxy. Mario fights him on the icy mountain of Freezeflame Galaxy. He resembles the Crystal King and Chief Chilly.
Baron Brrr resembles a giant Li'l Brrr, and sports a jeweled crown similar to King Boo's. He floats above a single column on the side of Freezeflame Galaxy's icy summit.
Baron Brrr's in-Game appearance
Baron Brrr appears in the Freezeflame Galaxy in the level "The Frozen Peak of Baron Brrr" where he is up on the third level of the mountain. This battle practices Mario's ability to use the Ice Flower. When Mario reaches the area, Baron Brrr begins firing balls of ice at him out of his crown. Mario must dodge the ice balls and go to the left side of the platform to get an Ice Flower (the other side will lead to Coins). Using the Ice Flower, Mario becomes Ice Mario and can run across the water to the front of Baron Brrr's platform. There he must Wall Jump up to the platform with Baron Brrr on it. Baron Brrr will start slamming down onto the ground, creating icy waves which Mario can dodge by jumping. He then must Spin near the Baron while he is on the ground. After being hit, Baron Brrr will turn small and hard and try to escape from Mario, who must Spin him again to finish him off. The player must do this two more times. On the third time, he calls two Li'l Brrrs to help him. When Baron Brrr is defeated, he releases a Power Star.
Names in other languages
||Jefe de Hielo
||King Ice Flamy