>>11660733Sure, but it's important to define what OP wants to learn. If you just say "hey I'm going to learn about differentiable manifolds through Lee" you don't need to bother with the intersection theory, with the de Rham cohomology, with the Sard stuff.
There is so much to learn, so going at it from the right angle is very important.
Anyway, when I say Riemannian geometry I mean the study of metric tensors and levi-cevita connections on manifolds. Some people just mean that when they say differential geometry, since there is no such thing as geometry on a manifold without a metric. But someone learning differential geometry can easily slide into differential topology and not learn anything relevant to physics.
