New posts in Manifolds

Intuitively, what does it mean that two charts are compatible?

Construction of connected closed oriented $4d-$dimensional manifold whose has only middle homology group is nontrivial.

Difference between smooth structures being equivalent or diffeomorphic.

Abstract Smooth Manifolds vs Embedded Smooth Manifolds

Definitions of a proper embedding

What’s the relation between local diagonalisation of Riemannian metrics and the eigenprojections for the representation matrix functions?

How to tell which manifolds can be embedded in $\mathbb{R}^n$, for a given $n$?

Can a topological manifold be non-connected and each component with different dimension?

Why the product of two manifolds is paracompact?

Show that there exists a smooth map $F: M \to M$ that is homotopic to the identity and has no fixed points.