Klosterman has one year of eligibility remaining.
How did Penn State's most hyped recruiting class perform?
Denmark, who initially stated his intentions to stay in Happy Valley, is headed to Virginia Tech.
Lustig is the son of Penn State special teams coordinator Justin Lustig.
The edge rusher will play at Penn State for his fifth and final year of eligibility.
Carter is the 28th Nittany Lion to be inducted into the College Football Hall of Fame.