New posts in smooth-manifolds

Solutions to Dirichlet problem on manifolds with boundary

How to find orthonormal frame of given metric?

Understanding the definition of an abstract manifold

What is the difference between the terms smooth, analytical and continuous?

Show that a $k$-form $\omega$ is smooth if only if it is smooth as map $\omega : M\rightarrow \Lambda ^k(M)$

A doubt about a proof of the dimension of tangent space in Guillemin and Pollack's book

Proving that $N$ is a manifold.

Clarification on the meaning of dx in the integral and differential setting

Does the Lie derivative commute with $\partial$?

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

Does the orientation bundle not depend on the choice of cover?

The tangent space is well-defined

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

Is the image of a smooth homeomorphism diffeomorphic to the domain?

Inverse image of a sub manifold - Transversal intersection

The tangent space $T_x \mathbb S^n$ consists of such points in $\mathbb R^{n+1}$ that are perpendicular to $x$

Pullback of a differential form by a local diffeomorphism

Smoothness of a G-invariant K-form

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)