Instead of hiding it. You can remove the parts you dont want to be shown for other. Remeber to take a backup of the code before editing!
Like this:
When loged in. Go to the "Appereance" section -> 'Editor'. In the Editor. open 'loop.php'
find this part:
<?php /* How to display all other posts. */ ?> (its a bit down)
Now, below that, fint this:
<div class="entry-utility">
You can remove everything here, EXCEPT this part:
<?php edit_post_link( __( 'Edit', 'twentyten' ), '<span class="meta-sep">|</span> <span class="edit-link">', '</span>' ); ?> <--- Thats the edit link
So. The new code would be something like this:
<div class="entry-utility">
<?php edit_post_link( __( 'Edit', 'twentyten' ), '<span class="meta-sep">|</span> <span class="edit-link">', '</span>' ); ?>
</div><!-- .entry-utility -->