Exponential map on Lie groups being a diffeomorphism
71037
Is exponential map locally a diffeomorphism w.r.t. base point?
62219
Under what conditions is the exponential map on a Lie algebra injective?
94215
Fundamental group of the connected sum of manifolds
154496
Proving that the Hopf map $S^3 \to S^2$ is a submersion
128410
Showing that the set of fixed points is a smooth manifold
33868
A transformation between two free group actions.
50572
Is there a general theorem stating why the restricted Lorentz group's exponential map is surjective?
39094
Lie bracket of vector fields on $\Bbb R^{n}$
128603
Lie algebra and tangent space at the identity are isomorphic
33969
"Basis extension theorem" for local smooth vector fields
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
120100
Hairy Ball Theorem: homotopy from the identity to the antipodal map
55810
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
15175
When does a Möbius transformation map $\Im(z)>0$ to itself?
127631
On a conformal mapping
9457
Compact Lie group bi-invariant metric
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$