metropolitan city

Short definition from Wiktionary

Noun

1. 1
   A large city that is the center of a metropolitan area; a metropolis.
2. 2
   In India, a city at the center of a metropolitan area, which in this context is defined in the Constitution of India as "an area having a population of ten lakhs [one million] or more, comprised in one or more districts and consisting of two or more Municipalities or Panchayats or other contiguous areas, specified by the Governor by public notification to be a Metropolitan area for the purposes of
3. 3
   In Italy, a special type of province that contains a large city at its core. See Metropolitan cities of Italy for a list.
4. 4
   In South Korea, a particular class of large cities. See Metropolitan cities of South Korea for a list.