Vector Bundles Over a Manifold
12772
A fiber bundle over Euclidean space is trivial.
121495
Decompose vector fields on product manifolds
115215
De Rham Cohomology of the tangent bundle of a manifold
151581
Prerequisite for Milnor Topology from a Differential Viewpoint
99230
If a manifold M has zero Euler characteristic, there is a non-vanishing vector field on it
128410
Showing that the set of fixed points is a smooth manifold
78624
CW complexes and manifolds
4240
The proof of Triple Vector Products
145220
Homology Groups of $S^n$
76428
Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
110654
Vector Spaces and AC
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
61628
Does every smooth local frame of the tangent bundle correspond to a chart?
135126
Proving that the quotient manifold is orientable if and only if the group action is orientation-preserving
39094
Lie bracket of vector fields on $\Bbb R^{n}$
144548
topological structure on smooth manifolds
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$