I want to create app that allow users to upload their video to my Vimeo account. I want to hide these video from others. And allow only authenticated users of my app to view these videos. My question is does Vimeo allow me to do? If yes, how can I do?
Yes! It can be done on a web site. I have recently seen this done on a tutorial site, using a privacy setting available per video. I trust this could also be done using an app, but it's possible the access permissons may be different.
Try checking this page for more details: http://vimeo.com/help/faq/managing-your-videos/privacy-settings#what-do-the-different-privacy-settings-do
Pay particular attention to the following point, you can make a video exclusive to your site, but for a premium:
You can select from the following privacy options for video embedding:
Only on sites I choose (PLUS and Pro ONLY)