Is a husband obligated to provide housing and transportation for his student wife who lives far away from him, or is he only obliged to support her when she is with him in his city, especially since she receives a large scholarship?

If the wife travels for her needs, such as studying, with her husband's permission, her right to maintenance (nafaqah) and a share (qasm) is forfeited, because maintenance and enjoyment of her became impossible due to her own action, as Ibn Qudamah mentioned. Therefore, what the questioner mentioned regarding maintenance for housing and transportation for her studies is not obligatory upon the husband, unless he volunteers to provide it.