Ubuntu – PyDev not found in Eclipse Kepler Eclipse says it’s correctly installed

I suppose it's a similar problem as this question, but I was asked to file a separate question, because my problem is Python-3-related.

Situation: Ubuntu 12.04 64bit, Python 3.2.3, installing Eclipse (Kepler) and PyDev.

Problem: Cannot configure PyDev, cannot create Python project. Same procedure on Windows 7 works fine.

I followed the guidelines at http://pydev.org/manual_101_install.html, but neither "Install New Software" nor via the "Eclipse Marketplace" did work, i.e. I don't see any Python or PyDev entry in Window/Preferences. Well, it seems to be installed, because Eclipse says "already installed", if I try to install it again.

From the command line python is working:

$ python
Python 3.2.3 (default, Sep 25 2013, 18:22:43) 
[GCC 4.6.3] on linux2
Type "help", "copyright", "credits" or "license" for more information.
>>>

I tried to link python to python2.7 in /usr/bin but with no effort.

Does anyone have an idea yet?

EDIT: java -version says "1.6.0_27"