Video uploaded from Droid DNA to youtube not showing up full screen

[alamer]

I uploaded an HD video from my phone to youtube, the video fits the screen on my phone, but when im watching it on youtube from either my phone or my PC the video doesnt fit the screen. Is there any way to fix this without stretching the video? the tags that fix the aspect ratio stretch the video compromising the quality. how can i upload it from my phone where it fits the screen?
Thanks