There's a new rumor in Android-land. This one comes from the Samsung camp. Supposedly Sammy's next flagship, the Galaxy S6 will not only come with a slide-sloping YOUM designed display similar to the Galaxy Edge, it will also include a unibody aluminum chassis.
Further details revealed in the leak suggest that the "curves" of the display will show up on both sides. Additionally, they will supposedly be less pronounced than the curves seen on the Edge. The reason for this is to avoid the dual-edged panel causing a negative effect on the grip ergonomics of the device.
The final intel that came along with this report indicates that the Galaxy S6 will not come in two versions like the Galaxy Note 4 and Galaxy Note Edge. Instead the S6 will simply include the slightly curved display as its primary design. Additionally, this rumor corroborated earlier reports suggesting that Samsung will do the usual, North American version with a Snapdragon (810 in this instance) and International version with an Exynos (7 Octa in this instance).
The above image is just an artist's fan render, but it could be a close approximation of the final look, if these rumors prove true.