"Curvy edges" refers to the borders or outlines of something that are not straight or angular, but instead have gentle curves or rounded shapes. Full definition
The handset has got a simple look with curvy edges. (gogi.in)
This handset has got curvy edges just like the other BlackBerry models and the front side sports the LCD screen followed by control buttons and the QWERTY keypad. (gogi.in)
As you can see in these spy images too, unlike the usual Land Rover SUVs, the Range Rover Velar is a bit coupe - like and come curvy edges and smooth lines. (auto.ndtv.com)