Tangent bundle of a manifold
61255
Tangent bundle : is a manifold
151581
Prerequisite for Milnor Topology from a Differential Viewpoint
50892
Vector bundle and principal bundle
18687
First and second homotopy groups of a connected Lie group
133413
Proof of paracompactness of CW-complexes (J. Lee, Introduction to Topological Manifolds)
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$
61628
Does every smooth local frame of the tangent bundle correspond to a chart?
86572
Transverse Manifolds. Intersection is a Manifold again.
148685
Equivalences of definitions of submanifolds in $\mathbb{R^n}$
124042
Why is a vector space equal to its tangent space for any point?
110691
Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other
128410
Showing that the set of fixed points is a smooth manifold
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
62950
Use implicit function theorem to show $O(n)$ is a manifold
143929
dimension of a connected Manifold
128988
GP 1.2.10(b) The tangent space $T_{(x,x)}(\triangle)$ is the diagonal of $T_x(X) \times T_x(X).$
66770
Intuition for Smooth Manifolds