"I will bring unconventional and asymmetrical warfare to those in LAPD uniform whether on or off duty," said the manifesto. It also asserted: "Unfortunately, I will not be alive to see my name cleared. That's what this is about, my name. A man is nothing without his name."
Dorner has available multiple weapons including an assault rifle, said police Chief Charlie Beck, who urged Dorner to surrender. "Nobody else needs to die," he said.
More than 40 protection details were assigned to possible targets of Dorner. Police spokesman Cmdr. Andrew Smith said he couldn't remember a larger manhunt by the department.
The hunt spread from California to Nevada, Arizona and Mexico, said a U.S. Marshals Service official who spoke to The Associated Press on condition of anonymity because the official was not authorized to publicly comment.
The search for Dorner, who was fired from the LAPD in 2008 for making false statements, began after he was linked to a weekend killing in which one of the victims was the daughter of a former police captain who had represented him during the disciplinary hearing. Authorities believe Dorner opened fire early Thursday on police in cities east of Los Angeles, killing an officer and wounding another.
Beck detailed Dorner's alleged crimes in an unusual press conference in an underground room at police headquarters, where extra security was deployed. The chief said there had been a "night of extreme tragedy in the Los Angeles area" and that all measures were being implemented to ensure officer safety.
Police said Dorner, 33, implicated himself in the couple's killings with the multi-page "manifesto."
A Facebook post believed written by Dorner said he knew he would be vilified by the LAPD and the news media, but that "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."
Los Angeles police believe the manifesto posted to Facebook was written by Dorner because there are details in it only he would know.
As police searched for him, the packed Los Angeles area was on edge. The nearly 10,000-member LAPD dispatched many of its officers to protect potential targets. The department also pulled officers from motorcycle duty, fearing they would make for easy targets.
In San Diego, where Dorner allegedly tied up an elderly man and unsuccessfully tried to steal his boat Wednesday night, Naval Base Point Loma was locked down Thursday after a Navy worker reported seeing someone who resembled Dorner.
Navy Cmdr. Brad Fagan said officials don't believe he was on base Thursday but had checked into a base hotel on Tuesday and left the next day without checking out. Numerous agencies guarded the base.
Fagan said Dorner was honorably discharged and that his last day in the Navy was last Friday.
Nevada authorities also looked for Dorner because he owns a house nine miles from the Las Vegas Strip, according to authorities and court records.
Authorities said the U.S. Navy reservist may be driving a dark colored 2005 Nissan Titan pickup truck.
The hunt for Dorner led to two errant shootings in the pre-dawn darkness Thursday.
Los Angeles officers guarding a "target" named in the posting shot and wounded two women in suburban Torrance who were in a pickup but were not involved, authorities said. It's not clear if the target is a person or a location. Beck said one woman was in stable condition with two gunshot wounds and the other was being released after treatment.
"Tragically we believe this was a case of mistaken identity by the officers," Beck said.
Minutes later Torrance officers responding to a report of gunshots encountered a dark pickup matching the description of Dorner's, said Torrance Sgt. Chris Roosen. A collision occurred and the officers fired on the pickup. The unidentified driver was not hit and it turned out not to be the suspect vehicle, Roosen said.
"We're asking our officers to be extraordinarily cautious just as we're asking the public to be extraordinarily cautious with this guy. He's already demonstrated he has a propensity for shooting innocent people," said Smith, the LAPD commander.
Dorner is wanted in the killings of Monica Quan and her fiance, Keith Lawrence. They were found shot in their car at a parking structure at their condominium on Sunday night in Irvine, authorities said.
Quan, 28, was an assistant women's basketball coach at Cal State Fullerton. Lawrence, 27, was a public safety officer at the University of Southern California. There was disbelief at three college campuses, Fullerton, USC, and Concordia University, where the two met when they were both students and basketball players.
Dorner was with the department from 2005 until 2008, when he was fired for making false statements.
Quan's father, a former LAPD captain who became a lawyer in retirement, represented Dorner in front of the Board of Rights, a tribunal that ruled against Dorner at the time of his dismissal, LAPD Capt. William Hayes told The Associated Press Wednesday night.
Randal Quan retired in 2002. He later served as chief of police at Cal Poly Pomona before he started practicing law.
According to documents from a court of appeals hearing in October 2011, Dorner was fired from the LAPD after he made a complaint against his field training officer, Sgt. Teresa Evans. Dorner said that in the course of an arrest, Evans kicked suspect Christopher Gettler, a schizophrenic with severe dementia.
Richard Gettler, the schizophrenic man's father, gave testimony that supported Dorner's claim. After his son was returned on July 28, 2007, Richard Gettler asked "if he had been in a fight because his face was puffy" and his son responded that he was kicked twice in the chest by a police officer.
Early Thursday, the first shooting occurred in Corona and involved two LAPD officers working a security detail, said LAPD Sgt. Alex Baez. A citizen pointed out Dorner to the officers who followed until his pickup stopped and the driver got out and fired a rifle at them, officials said. One officer's head was grazed by a bullet.
Later, two officers on routine patrol in neighboring Riverside were ambushed at a stop light by a motorist who drove up next to them and opened fire with a rifle. One died and the other was seriously wounded but was expected to survive, said Riverside police Chief Sergio Diaz.
Diaz said news organizations should withhold the officers' names because the suspect had made clear that he considers police and their families "fair game."
Dorner's LAPD badge and an ID were found near San Diego's airport and were turned in to police at early Thursday, San Diego police Sgt. Ray Battrick said.