Is there a way to determine all the domain names that redirect
automatically to another page?  For instance, I would want to know all
the pages that redirect explicitly to www.sony.com (just as an
example).

You would need to be able to search the html source for redirection
scripts that reference your target domain. I don't know of any search
engines that let you search the non-rendering parts of a website.
Prehaps you could do it through the Google API
://www.google.com/apis/ The closest thing I can come up is that
you can find all the web pages that link to a site by putting "link:"
in front of a domain name in google. As in link:www.domain.com

To do what anotherbrian said do this:
Type this in the search engine linkto:http://www.anysite.com the other
way was wrong and this shows the sites that link to said site and they
do not need to be as his sample was with the actual word link.

As for finding just redirect links, I am not sure if it can be done.
Good luck on finding it though.