A covered walkway is basically like an outdoor tunnel, which is designed to keep employees and public in a dry and wind free environment. Find out more by visiting the site in the related links.
Portico
The name of a covered walkway that surrounds a courtyard is a cloister.
An old covered walkway is called a stoa from Greek architecture.
path
Arcade
stoa
A promenade?
pergola
une allée couverte
covered walkway a+
You either mean an Arbor or a Pergola... pergolas are usually attached to the house, but you can also build them free-standing.
An alameda is a tree lined walkway.
Your first task is to photograph the walkway and document why you believe that it is dangerous. Then, you can send this documentation to the board -- if the association owns the walkway, or to the municipality that owns the walkway.