Section 6F. An action under section two B or section six C shall be subject to all the provisions of section six of chapter one hundred and fifty-three relative to notice to the employer of the time, place and cause of injury, and the time within which the action shall be commenced; provided, however, that the time for bringing an action under either of said sections to recover for the death of an employee who dies within two years after the injury which caused the death shall never be less than one year from the date of death, or such period thereafter as is provided by sections four, four B, nine or ten of chapter two hundred and sixty.