$U(1)$ bundles over a flat Euclidean $\mathbb{R}^d$ or Minkowski $\mathbb{R}^{d,1}$ space
12772
A fiber bundle over Euclidean space is trivial.
91756
Degeneracy in one dimension
141794
Invariant subspaces of specific dimension
148685
Equivalences of definitions of submanifolds in $\mathbb{R^n}$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
6323
existence of complex structure in dimension 2
48369
discrete subgroups of euclidean space
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
78624
CW complexes and manifolds
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
43004
Why are there $|G/G'|$ 1-dimensional representations of $G$?
16860
set of almost complex structures on $\mathbb R^4$ as two disjoint spheres
90365
Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
129481
About the term $-\nabla_{[u,v]}w$ in the definition of Riemann curvature tensor
92435
How to find two inequivalent ,but weakly equivalent bundles?