(c) Notwithstanding subdivision (b), this chapter applies to the construction of sidewalks, curbs, and gutters appurtenant thereto, sufficient paving to provide a parking lane, and to parkway trees and street lighting facilities, but only to the extent that those improvements are in front of the property on arterial or collector street sections, which is otherwise subject to assessment, if the property has not been subject to any other special assessment to pay for construction of sidewalks, curbs, gutters, parking lane paving, parkway trees, or street lighting facilities within the preceding 10 years. As used in this subdivision, "gutters" shall include only above-ground structures appurtenant to sidewalks and curbs. As used in this subdivision, "parking lane" means a paved area adjacent to the curb which is used exclusively for on-street parking. It does not include any portion of the street used for through traffic or as a bicycle lane. An assessment for parking lane purposes shall not include the cost of any signs necessitated by the parking lane. If property is assessed for a parking lane pursuant to this chapter and the parking lane is subsequently converted to another use, the amount of the assessment paid, together with interest at the prime rate plus 3 percent, shall be paid by the city to the then owner of the property.