An adult bear has 10 centimetres of blubber beneath its skin.
This is covered by a thick coat of dense fur.
Each hair of this fur is a hollow tube so that air is trapped inside as well as between them.
The hairy padded feet are also callused on the underside which gives a layer of dead tissue between the ice and any blood vessels.
As well as this the underside has dozens of papillae (tiny nipple like studs) which gives an additional cushion of insulating air between paw and ice and great grip on the ice for fast turns towards prey.
Unfortunately as all this insulation conserves heat efficiently any exertion in temperatures above 10 degrees Celcius could cause heat stroke and kill off the bear.
So if you get caught on the ice just ahead of a running bear, keep going until one of you drops.
My money's on the bear.