The side walk in front of my house is a good issue then. It was built by the city and every home owner has to make sure it is clear, this means the homeowner is responsiable to shovel the snow from the part in front of their property. If they don't the city will sue the home owner and if someone slips due to the home owner not keeping it free from ice the home owner can be sued. How does that work if the homeowner doesn't actually own it?
I don't know the laws in your state, but it certainly doesn't sound "just" does it?
If you have a right-of-way/easement on your property and you cannot exercise exclusive control of that portion of the property, then you do not have 100% ownership of that portion of the property, do you?
Thankfully, we do not have that issue with our property, despite being in the city limits. However, if I was "responsible" to provide "safe travel" on a public right of way, I would certainly feel it was my "duty" exercise the ability to "close" that right-of-way in the event of "unsafe conditions."
I am sure that someone will argue that it is part of your "civic duty" to maintain/clean the sidewalk, but if that is taxed at the same rate as property in the city that doesn't have sidewalks, then I am not sure the "civic duty" argument would hold.
Another way to look at it--just because the city builds it doesn't necessarily (IMO) create an obligation to maintain the city's property. Who is responsible to repair sidewalk cracks/breaks in your city?
If they park a city vehicle in your front yard, do you have to wash it and check the tire pressure as well? What if they pass an ordinance requiring such, would you feel the same duty?