What facebook, twitter and google+ managing called? social community media? or social marketing media?

Community management is one of those roles for which everyone assumes that they know exactly what it is that you do. “Oh, you’re a community manager …so, you do social media, right?”

If only the answer were that simple.

Community is a discipline within an organization, such as engineering, design, marketing or business development. Let’s revisit again the goals of community within a startup:

• Connect users to one another
• Make users happy
• Make users stay (retention)

In contrast, the goals of social media are to:

• Engage with current and potential users
• Increase brand awareness and reach
• Distribute relevant content to your audience
• Provide customer support (a poor use case in my opinion, but that’s another topic)

More than social

Only one (and a half) of social media goals align with community goals. Social media is a communication channel and just one of many potential tools for engaging with and growing a community. To put this in context, social media is for community managers what Bootstrap is for developers — maybe you use it, maybe you don’t.

However, social media is not just a tool for community managers; it’s a tool for marketers and advertisers too. This is why you’ll see so many agencies package social media services and jobs as “community management.” Don’t buy into this unless you want your social media content to be a self-promotional stream (meh, unfollowing now) of less-than-valuable information.

As Mr. Khalil Explained everything. I would also suggest to call it Social Media Management :)

It is called " Social community media".

It's marketing if you are pushing out new info on new deals. It's community, if it's about tackling feedback and keeping community excited and engaged but not offering new info on products/services.

how about  Social Media Optimization?