Connections on vector bundles: how they allow us to differentiate sections and to identify fibers?
15062
How connection helps us to identify two different vector spaces?
121830
The commutators of related vector fields are related
94844
Unitary map between sets of vectors
60731
Factorization of a map between CW complexes
59446
Universal property of universal bundles.
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$
100272
Why do we select the metric tensor for raising and lowering indices?
148837
Equivalent definition of metric compatibility for a connection: what does $\nabla g$ mean?
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
41575
Motivation for the mapping cone complexes
23414
Topologist's Sine Curve: A rigorous proof of why $\overline{S} = S \cup V$
121495
Decompose vector fields on product manifolds
152200
Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?
93986
Connectivity, Path Connectivity and Differentiability
130278
Vector Applications in Euclidean Geometry
36193
2D Visualization of links and knots
50892
Vector bundle and principal bundle