Be careful. It is not the drive type that determines the "constant power" application above base speed, it is the inherent design of an AC motor.
To vary the speed of an AC motor and provide constant torque throughout, you must maintain the Volts-per-Hertz ratio at a constant. So for instance, a 460V 60Hz motor must get 7.6 V/hz, derived from deviding 460 by 60. However, if you drive the motor to 100Hz, and you want the same torque at that speed, you would need to apply 760V. No VFD is capable of INCREASING the maximum output voltage beyond the input voltage, vector or not.
So once you get beyond the 60Hz range, your V/Hz ratio is going to go down, essentially creating a "field weakend" state where the HP remains constant, but the speed increases. Since Tq = 5250 x HP / RPM, as the RPM goes up with no increase in HP, the Tq will go down. If your load remains constant at that speed, you motor will begin to overload. There are tricks you can use to help compensate, but you need to describe your application a little better to get the right recommendation.
"Venditori de oleum-vipera non vigere excordis populi"