New posts in Smooth Manifolds

How to prove $\frac{\partial}{\partial x^r} (x^r) = 1$ where $(U, (x^1, ..., x^n))$ is a local chart of a smooth manifold.

About the construction of the restriction of a Vector Bundle in John M. Lee's book

Embedding of exotic manifold

The meaning of "metric preserving" connection.

Find $f$ such that $f^{-1}(\lbrace0\rbrace)$ is this knotted curve (M.W.Hirsh)

Why is this 3-manifold irreducible?

Let $M$ be a smooth n-manifold($n\geq 1$).Prove that $M$ admits a diffeomorphism $f : M \to M$ which is not the identity

Every connected orientable smooth manifold has exactly two orientations, Lee Proposition 15.9

Example of a parallelizable smooth manifold which is not a Lie Group

(Vishik's Normal Form) Behavior of a vector field near the boundary of a manifold