Riemannian metric on Lie Groups and $S^n$
75391
How to prove that a left-invariant metric on a Lie group is smooth?
85299
computing the orbits for a group action
129481
About the term $-\nabla_{[u,v]}w$ in the definition of Riemann curvature tensor
94215
Fundamental group of the connected sum of manifolds
14652
Proof a $(2n-1)$-compact manifold
69798
Intersecting geodesics in a positive curvature manifold
130537
Proving that $d(f,g)=\|f-g\| = \sup \limits_{0\leq x \leq 1} |f(x)-g(x)|$ is a metric on $X=C[0,1]$
35509
Noether's Theorem: Lie groups vs. Lie algebras; finite vs. infinitesimal symmetries
50731
Isometries of the sphere $\mathbb{S}^{n}$
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
146215
Metric on a Quotient of the Riemann Sphere
55810
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
11773
Levi-Civita connection between conformal metrics
118064
Homogeneous riemannian manifolds are complete. Trouble understanding proof.
73113
Groups and Symmetries
11627
Find the center of the symmetry group $S_n$.