Why Mysore? It is the birthplace of Ashtanga yoga and home to the Ashtanga Yoga Institute (kpjayi.org), which offers an entire month of Ashtanga classes for $600. (Note: you must apply and there is a one-month minimum stay.) The Institute is open from January through March and June through December, and is run by Sharath Ranga-swamy, 35, a master of Ashtanga yoga, and his grandfather, Guruji K. Pattabhi Jois, the institute's founder. (Both pictured).
If you're like most and are unable to commit a month to yoga, you can instead connect to your inner yogi by studying Sanskrit, relaxing via massage, or touring the city's many palaces. (Mysore also happens to be called "The City of Palaces.")
Image credit: Business Week