In the verses shown below the God states that He has chosen Jerusalem and would put His name there. How might God put his name on Jerusalem?
And unto his son will I give one tribe, that David my servant may have a light alway before me in Jerusalem, the city which I have chosen me to put my name there. 1 Kings 11:36
And he built altars in the house of the LORD, of which the LORD said, In Jerusalem will I put my name. 2 Kings 21:4
And he set a graven image of the grove that he had made in the house, of which the LORD said to David, and to Solomon his son, In this house, and in Jerusalem, which I have chosen out of all tribes of Israel, will I put my name for ever: 2 Kings 21:7
But I have chosen Jerusalem, that my name might be there; and have chosen David to be over my people Israel. 2 Chronicles 6:6
Also he built altars in the house of the LORD, whereof the LORD had said, In Jerusalem shall my name be for ever. 2 Chronicles 33:4