Google's CEO claims that Apple is overly fixed in it's fight against Google. While some may think claim this is overblown, Apple's various CEOs have released statements showing their fixation, such as this famous one by Steve Jobs.
Steve Jobs said:I will spend my last dying breath if I need to, and I will spend every penny of Apple's $40 billion in the bank, to right this wrong. I'm going to destroy Android, because it's a stolen product. I'm willing to go thermonuclear war on this.
In addition to statements like this, Apple has taken public steps such as locking Google Maps out of iOS 6 (and removing it from the App store so it couldn't be re-installed afterwards).
However the article mentions how Google doesn't think it has any direct competitors because it doesn't have a single focus, and of the things it makes the most money off of (search and ads) it's the leader anyways so there's no company that's a polar reflection competing in the same spaces... but it's also hinted that this could just be a mental tactic by Google's CEO to shift the focus of it's employees and planners away from competition and back to their own projects.
The Article said:But he says that if you're fixated on your competitor, you're not looking forward at your own future. He remarks, "I don't like to rally my company in that way because I think that if you're looking at somebody else, you're looking at what they do now, and that's not how again you stay two or three steps ahead."