Hi,
I’m sorry, but I do not understand what is wrong here. You have full control of what is displayed in smart search result in your smart search result transformation. Default Kentico
CMS smart search transformation (you can change it according your needs) contains following transformation code which is responsible for returning the URL to page/document which contains searched word:
<span style="color: #008000">
<%# SearchHighlight(SearchResultUrl(true),"<strong>","</strong>")%>
</span>
SearchResultUrl method returns absolute URL in case the input parameter to this function is true (your case).
SearchHighlight method highlights the search word in the resolved URL (relative or absolute), so if you search for
mySite and some of your documents are found and at the same time your domain name is
mySite you will end up with the behavior which you described.
Best regards,
Miroslav Remias.