In India each state has a ceremonial Governor appointed by the President of India. Governor is the head of the state. Generally, a Governor is appointed for each state, but after the 7th Constitutional Amendment, 1956, a Governor can be appointed for more than one state.
Lieutenant-Governor is the head of a Union Territory. However the rank is present only in the Union Territories of Andaman and Nicobar Islands, Delhi and Pondicherry (the other territories have an administrator appointed).
Thus, Governors head the State Government in the states while Lieutenant-Governors exist in some union territories and in the National Capital Territory of Delhi.
The Governors and Lieutenant-Governors are appointed by the President for a term of 5 years.