Abbott's nude body was spotted at the entrance to a bike trail in the 15000 block of Skyline Boulevard, about 50 feet east of Keller Avenue, at about 8:20 a.m. Friday by a resident who was driving by, police said.
The cause of her death hasn't yet been determined, police said.
Sgt. Jim Rullamas said that because Abbott was found nude, investigators believe she died elsewhere and was brought to the site in the hills.
The discovery of Abbott's body was the second time in three days that a woman was found dead in Oakland.
The body of 21-year-old Jasmine Jordan, of Fresno, was found near Doolittle Drive, east of Harbor Bay Parkway, in the Martin Luther King Jr. Regional Shoreline Park at about 4:20 p.m. Tuesday.
Jordan had been stabbed to death, Rullamas said.
Police said that at this point they don't think the deaths are connected.