New posts in manifolds

The unit tangent bundle for submanifold $M^{m}\subset \mathbb{R}^{n}$ is a (2m-1)-dim submanifold

Are compact complete geodesics closed?

Do the singular matrices form a topological manifold

Smooth maps (between manifolds) are continuous (comment in Barrett O'Neill's textbook)

What exactly is a 0-form?

Sections of associated bundles

What should I study to understand Milnor's exotic 7-spheres?

Closed ball not a manifold.

Why are Banach manifolds not so popular?

What is this manifold?

Proof of $H^k(X,\mathbf k) = H^k(X,\mathbb Z) \otimes \mathbf k$

Interpreting definitions of a manifold and a sub-manifold

Is there any embedding theorem for fibre bundles?

Minimal Number of Charts Covering a Manifold

Can the long line be embedded in euclidean space?

Existence of a universal cover of a manifold.

Definition of Maximal atlas

Infinite dimensional constant rank theorem

How to show the covering space of an orientable manifold is orientable

Lie derivative $\mathcal{L}_XJ(Y)$ with endomorphism $J$