The de-escalation of the fighting suggests negotiations are ongoing between the armed forces and rebels
"One Indian Air Force pilot has unfortunately lost his life. Two others were injured and shifted to hospital, but are said to be out of danger," said MN Reddi, director general of police in Karnataka.
The defence ministry confirmed that two Hawk aircraft of the Surya Kiran Aerobatic Display Team had crashed near the Yelahanka Air Force Base.
The aerobatic team was scheduled to perform at Aero India 2019, a five-day airshow expected to draw nearly 500 Indian and foreign aviation firms and defence contractors.
It was the second deadly accident involving Indian Air Force aircraft this month. A Mirage 2000 trainer crashed in the southern city of Bengaluru on Feb 1, killing two pilots.