The Giants are the defending Super Bowl champions, but the Jets have been grabbing the offseason headlines, most recently with their trade for Tim Tebow.
At the NFL owners meetings in Florida, Giants owner John Mara joked about the fact that the Jets have a press conference scheduled for Monday to introduce their backup quarterback.
"The David Carr press conference will be [Monday] afternoon, too," Mara said, referring to the Giants backup who did not throw a pass last season while playing behind Eli Manning.
Added co-owner Steve Tisch: "Well, [the Jets] are getting a lot of attention, so if that was one of their goals, I think they have been successful."
Jets coach Rex Ryan was respectful when apprised of the Giants bosses' comments.
"When you win a Super Bowl, you can say anything you want because they are the world champions," Ryan said. "That's all fine and dandy. To the young man [Tebow], he's not going out there trying to get the attention. The attention follows him."
Last year, Ryan famously claimed the Jets were New York's premier football team, a statement that backfired badly.
"Clearly the statement wasn't very good," Ryan acknowledged. "We're looking up to them as is every other team in the NFL right now. They accomplished what I wanted to, being the best team in New York, being the best team in the NFL. The Giants accomplished that last year. We'll take a swing at them."
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