re: Avtar in Hinduism?
I think concept of avtar in Hinduism is near Christian concept of Jesus (God incarnated) than Muslims concept of Prophet / Khalifa (representative).
I have been through this confusion to consider them as representative. Interestingly, when Ismaili started preaching in India they came with the concept of avtars as representative. One of popular book from that era is ‘Dus avtar’ where Prophets and companions of the Prophet have been called avtaar.
Das Avtar - 1. Karta Yuga | Ismaili.NET - Heritage F.I.E.L.D.