vim-latex aka latex-suite
This vim plugin provides a rich tool of features for editing latex files. For further descriptions, we refer to the website. There is also a user manual and a beginner's tutorial.
Installation
We recommend the installation via a plugin manager such as pathogen or Vundle.
Instructions for manual installation is documented at the website.
Recommended settings after installation can be found in Section 1 of the manual.
Documentation
As already mentioned, the manual can be found here.
After installation, you will also have a rich in-vim documentation, see :help latex-suite.