Here are some mappings for the java funtionality provided by eclim. To make use of these mappings, simply create a ftplugin file for java and place your mappings there (:help ftplugin-name).
Import the class under the cursor with <leader>i (:h mapleader):
nnoremap <silent> <buffer> <leader>i :JavaImport<cr>
Search for the javadocs of the element under the cursor with <leader>d.
nnoremap <silent> <buffer> <leader>d :JavaDocSearch -x declarations<cr>
Perform a context sensitive search of the element under the cursor with <enter>.
nnoremap <silent> <buffer> <cr> :JavaSearchContext<cr>