I'm looking for a book or a set of lecture notes on differential manifolds that explain connections (Levi-Cevita connection, prinicipal connections) and curvature on an abstract manifold from the viewpoint of acceleration vector and double tangent space. I looked through many resources that I knew, but didn't find one that followed this approach.
2026-03-28 03:34:47.1774668887
Looking for a reference that explains connections and curvature by double tangent space
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