Hadith 866
Abu Hurairah (May Allah be pleased with him) reported:
عن أبي هريرة رضي الله عنه أن رسول الله صلى الله عليه وسلم قال: " لا تبدءوا اليهود ولا النصارى بالسلام، فإذا لقيتم أحدهم في طريق فاضطروه إلى أضيقه" ((رواه مسلم)).
The Messenger of Allah (ﷺ) said, "Do not greet the Jews and the Christians before they greet you; and when you meet any one of them on the road, force him to go to the narrowest part of it." [Muslim].
In plain words
The Prophet instructed the Muslims not to be the first to greet the Jews and Christians of that context. The detailed application of such guidance belongs to scholars; here we simply note his words.
Reference : Riyad as-Salihin 866 In-book reference : Book 5, Hadith 23