Christopher Dorner, 33, has been on the run for the past week, following the attacks in southern California.
In an online manifesto, Christopher Dorner swore to take revenge on police officers he blamed for his firing in 2008, which he claimed was racially motivated.
Police Chief Charlie Beck appealed for Christopher Dorner to hand himself in.
He said re-opening the investigation was not a response to his demands.
“I do this not to appease a murderer. I do it to reassure the public that their police department is transparent and fair in all the things we do,” Charlie Beck said in a statement.
Christopher Dorner is suspected of killing three people, including the daughter of a retired police captain who represented him in a disciplinary procedure.
Charlie Beck said police were now protecting 50 families, many belonging to former LAPD colleagues, against whom Christopher Dorner has vowed revenge for ruining his career.
In an online manifesto, Christopher Dorner suggested that some were motivated by racism, writing: “Unfortunately, this is a necessary evil that I do not enjoy but must partake and complete for substantial change to occur within the LAPD and reclaim my name.”
Police are combing an area near Big Bear Lake, 80 miles east of Los Angeles, after finding the suspect’s burned-out truck near a ski area.
Fire officials in Big Bear Lake told the Los Angeles Times that fresh tracks spotted in the snow were believed to be Christopher Dorner’s but that it was possible the truck was a diversion.
A former US Navy reservist, Christopher Dorner was with the police department between 2005 and 2008, but lost his job for making false statements.
Christopher Dorner is suspected of:
According to court documents, Christopher Dorner was fired in 2008 after making a complaint against his field training officer, saying she had kicked a suspect, a schizophrenic man with severe dementia, during an arrest.
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