(CNN) Two mounted officers seen leading a handcuffed black man by what appeared to be a rope will not face a criminal investigation, authorities say.

City officials in Galveston requested a third-party investigation into the arrest of Donald Neely, 43, after images circulated of him being led through town by two Galveston Police Department officers.

"The Rangers subsequently conferred with the Galveston Co. District Attorney's Office, which determined that there was nothing that warranted a criminal investigation," said a statement from the Texas Department of Public Safety.

It referred additional questions to the prosecutor's office.

The Texas Rangers informed local officials of their decision Friday, Galveston County Sheriff Henry Trochesset said.

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