Jean Campbell's body was found in Cranhill Park - just yards from her home - about nine hours after she was last seen alive.
It is two weeks since the 53-year-old was killed.
Her body was discovered by her husband, who had returned to their home in Bellrock Street from nightshift and went to look for her.
He is understood to have heard the couple's German Shepherd, Kai, barking from across the road in Cranhill Park.
Mr Campbell went into the park to investigate, shortly after 7.30am on Saturday, December 14, and found his wife.
Detectives are still working to establish a motive for the killing.
Detective Chief Inspector Colin Carey, who is leading the investigation, described the attack as "particularly violent" and urged anyone with information to contact police.
Officers have refused to rule out the possibility Mrs Campbell was killed by someone who knew her.
She was spotted on CCTV at 10.30pm on December 13 near the park.
Mrs Campbell was seen walking in the area around Bellrock Street. She was wearing pyjama bottoms and a black puffer style jacket with a black hood.
A police spokeswoman said: "Nothing is being ruled out".
She added: "We are keeping an open mind. She may or may not have known her killer."
Last week, police questioned 75 people who were in the area around the park close to where she was killed.
Anyone with information is asked to call police on 101.