When I do
<% if ClassName = HomePage %> it returns ture on my search results! There are some bits that I don't wish to show on the results page that are on the Home page (for example I have a flash carousel that is controlled with a checkbox 'has_carousel').

I tried something like this:

<% if hasFlashCarousel %>
<% if ClassName = Page_results %>
... do nothing
<% else %>
include carousel...
<% end_if %>
<% end_if %>

but <% if ClassName = Page_results %> is not working... any ideas how i control this?

In your function results() in mysite/code/Page.php add another entry to your return array(... ) bit

'ClassName' = 'Page_results'

as you call the results method on the current page you are viewing it inherits all the information from this page. So if you search from the homepage it does http://silverstripe.org/home/SearchForm.. which loads the results but ontop of the home page. Passing the returned array another option should fix it

Ah awesome thanks!

PS
'ClassName' => 'Page_results'

:)