What is nedeed to prove that the tangent space on a manifold is a vector space?
15088
Proof that tangent space is a vector space?
41520
Prove that $L(V,W)$ forms a vector space
62950
Use implicit function theorem to show $O(n)$ is a manifold
42362
Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
61255
Tangent bundle : is a manifold
26989
Show that C[0,1] is a vector space
39094
Lie bracket of vector fields on $\Bbb R^{n}$
5347
Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
149593
Global sections of a tensor product of vector bundles on a smooth manifold
33969
"Basis extension theorem" for local smooth vector fields
154724
Every vector space has a basis
118064
Homogeneous riemannian manifolds are complete. Trouble understanding proof.
89649
Linear Algebra munkres analysis on manifolds question.
4319
Vector space can be written as direct sum of subspaces
4374
Geometric interpretation of a vector space and subspace?
91322
A diffeomorphism whose tangent map preserves dot products is an isometry.