There exists several LaTeX plugins for vim, for instance:
I have been using both LaTeX-Suite and LaTeX-Box myself, but I found both of these to be relatively bulky and difficult to manage and extend. LaTeX-Box was supposed to be simple and lightweight, and I think it was close to being just that. However, after having worked on it for some time, I felt that much of the simplicity could be improved by a complete restructuring.
Enter vim-latex, which is a lightweight and simple plugin that provides LaTeX support for vim. It has most of the functionality of LaTeX-Box, but the idea is to combine vim-latex with the strength of other plugins. I personally recommend UltiSnips for snippets and neocomplete for completion.
Read the documentation for a more thorough introduction.
https://github.com/gmarik/vundle
Add Bundle 'lervag/vim-latex' to your ~/.vimrc and run
:BundleInstall in a vim buffer. Add ! to the command to update.
https://github.com/Shougo/neobundle.vim
Add NeoBundle 'lervag/vim-latex' to your ~/.vimrc and run
:NeoBundleInstall in a vim buffer. Add ! to the command to update.
https://github.com/tpope/vim-pathogen
Add the vim-latex bundle to your bundle directory, for instance with git clone. This will typically be enough:
cd ~/.vim/bundle
git clone git://github.com/lervag/vim-latex
Copy the directories to your .vim/ folder.