10-я армия
Geiger commanded the III Amphibious Corps in the Battle of Okinawa in 1945 before assuming the command of the U.S. Tenth Army upon the combat death of its commander, Lt. General Simon Bolivar Buckner, Jr.. Geiger successfully led the Tenth Army until relieved by General Joseph Stilwell. Marine Corps base Camp Geiger in North Carolina is named in his honor.