What is the best Riemannian geometry book?

Question

I know basic differential geometry (curves, surfaces, curvature, first and second fundamental forms) and a little about tensors, but I need something (hopefully not too difficult) that gives the details and the intuition on covariant derivatives, connections, Riemannian metrics, Reimannian curvature, Lie derivatives, and Ricci curvature.

Answer 1

i would recomend Do Carmo's book on riemannian geometry, I think it is easy to follow. Once you are ready for a more complete picture I think that Spivak's book and Kobayashi and Nomizu's books are a must.
good luck! .
Riemannian Geometry by Manfredo P. Do Carmo and Francis Flaherty

Answer 2

Best Differential Geometry Book