Diffeomorphisms act transitively on a connected, smooth manifold
110691
Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other
76428
Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
33868
A transformation between two free group actions.
116659
Manifold that is NOT smooth
24828
surjective immersion $\mathbb{R}^2 \to \mathbb{R}^2$ which is not a diffeomorphism
82310
Epimorphisms from a free group onto a free group
91322
A diffeomorphism whose tangent map preserves dot products is an isometry.
63098
Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
75391
How to prove that a left-invariant metric on a Lie group is smooth?
57468
Continuous homorphisms between topological groups.
80100
Boundary of product manifolds such as $S^2 \times \mathbb R$
94215
Fundamental group of the connected sum of manifolds
25728
A second isomorphism theorem for action on cosets
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
86993
Differentiable injective function betweem manifolds
143043
When is a local homeomorphism a covering map?
102323
Nice neighborhoods of each "piece" in a manifold connected sum