Good article by James Rubinstein about being a Search PM.
What’s different about being a Search PM? Well, a couple of things. First, search is just an inherently more speculative and experimental domain than many other user-facing domains. Second, search is just more data-oriented. Third, in search, there is some constraint to the tasks your users are trying to do.
Read the whole article: What does it mean to be a Product Manager (PM)? What does the search team do? What does the PM do for the search team at your organization? Is there a difference between Search PMs and other PMs?