What would make a car shut off when you make a turn?

The following reasons will be applicable as per the severity:

1.Power Steering pressure switch / sensor failure.

2.Low fuel level which results in air-lock in case of diesel or engine shut-off in case of petrol.

3.The coupler of electronic control module which controls the engine management system will tends to make and break activity while turning or cornering, due to the angle of inclination of the vehicle's body.