Iuliana Tudos, 22, was found on Wednesday inside an outbuilding near a sports pitch in Finsbury Park.
Scotland Yard said she died as a result of a stab wound to the abdomen and a head injury.
Detectives believe she may have been attacked on Sunday, Christmas Eve. A murder investigation has been launched.
No arrests have been made and a crime scene remains in place. Pictures from the scene on Thursday showed a forensic tent and markers next to clothes on a playing field.
Officers and London Ambulance Service attended, but Tudos was pronounced dead at the scene.
Her family, who live abroad, have been informed. A post-mortem examination was still ongoing on Thursday evening.
DCI Nicola Wall, from the Metropolitan Police Service’s Homicide and Major Crime Command, said: “Iuliana’s body was discovered in an outbuilding next to a sports pitch.
“We believe that she may have been attacked on Saturday, 24 December - Christmas Eve - but we want to hear from anyone who saw anything suspicious in that part of Finsbury Park over the Christmas period.
“We are still trying to piece together a timeline of events and are pursuing a number of lines of enquiry as regards to a motive”
Anyone with information is requested to call the dedicated incident room on 0208 785 8244, tweet @MetCC or contact Crimestoppers anonymously on 0800 555 111.