I am writing my bachelor's thesis which is in part about Riemannian Manifolds but not extensively and I am using the book Introduction to Smooth Manifolds by Lee. However, I find the Riemannian Manifold part requires a lot of information on covectors, tensors, etc. So I want to ask if there is any other book that introduces Riemannian manifold in an intuitive manner and self-contained in a way that does not require tensors, covectors, etc.
2026-04-18 13:24:45.1776518685
Book on Riemannian Manifold
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IMHO Lee is a fine book. There exist plenty of books, what's your budget? Take a look at Lang and Lang or Prasolov. I sometimes prefer other schools for doing things, in this case Lang = FR and Parsolov = RU. Sharpe is on my wishlist.
I have some books on Tensors and VA, but because I wasn't satisfied ended up buying DG books as mentioned above.
Hope this helps a bit.