What is the Fedora Project

If you want to know more I will refer you to the Fedora Project Wiki

Here’s the quick answer (Source: fedora project wiki) :

What is the Fedora Project?

The Fedora Project is a partnership of free software community members from around the globe. The Fedora Project builds open source software communities and produces a Linux distribution called “Fedora.”

Our Mission

The Fedora Project’s mission is to lead the advancement of free and open source software and content as a collaborative community.

Elements of Fedora’s Mission

The three elements of this mission are clear:

• The Fedora Project always strives to lead, not follow.
• The Fedora Project consistently seeks to create, improve, and spread free/libre code and content.
• The Fedora Project succeeds through shared action on the part of many people throughout our community.

Our Core Values

The Fedora Project’s core values, or Foundations, are set out on their own wiki page.

We strongly believe in the bedrock principles that created all the components of our operating system, and because of this we guarantee that Fedora will always be free for anybody, anywhere, to use, modify and distribute.