ARKHYZ, Russia — After years of trying to suppress religious and ethnic tensions in its southwestern mountains with guns and troops, Russia is offering new incentives to combat unrest and terrorism: ski slopes and sandy beaches.

The idea is to bring jobs and prospects to the people of the North Caucasus, where Islamic fundamentalism and separatist aspirations have resulted in death and violence in the region’s mountains and a thousand miles away in Moscow, the target of suicide bomber attacks.