New posts in smooth-manifolds

The Uniqueness Part of the Smooth-Manifold-Chart-Lemma in John M. Lee's Introduction to Smooth Manifolds.

differential-geometry smooth-manifolds

What is an example of a manifold that is not smooth?

general-topology differential-geometry manifolds smooth-manifolds

Is every transitive action conformal?

differential-geometry riemannian-geometry lie-groups smooth-manifolds conformal-geometry

Does de Rham theorem hold for manifolds with boundary?

differential-topology homology-cohomology smooth-manifolds

Why does the projection $\pi:(a,b,c) \in S^2 \to[a,b,c] \in P^2$ have rank 2 everywhere?

differential-geometry smooth-manifolds projective-space

What are applications of Lie groups/algebras in mathematics?

reference-request lie-groups lie-algebras smooth-manifolds

Fundamental group has finite commutator subgroup

differential-geometry algebraic-topology differential-topology smooth-manifolds

Do superellipses provide examples of submanifolds of $\Bbb{R}^2$ that are not smooth?

differential-geometry smooth-manifolds curves implicit-function-theorem submanifold

The differential of inclusion from S^{2} to R^{3}

smooth-manifolds differential-geometry differential

Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?

differential-geometry lie-groups smooth-manifolds vector-fields

Cartesian product of embeddings is embedding

differential-geometry differential-topology smooth-manifolds

Let $M$ be a smooth manifold and let $N$ be a manifold with boundary. If $dF_{p}$ is an isomorphism, then $F\left(p\right)\in\mbox{int}M $.

differential-geometry smooth-manifolds manifolds-with-boundary inverse-function-theorem

Lee, Introduction to Smooth Manifolds Solutions

reference-request manifolds smooth-manifolds

$f:M \to N$ is a diffeomorphism iff $J(f)\ne 0$?

differential-geometry smooth-manifolds

Intuitive interpretation of Ricci Flow

differential-geometry riemannian-geometry smooth-manifolds ricci-flow

If two Riemannian manifolds can be isometrically immersed in each other, are they isometric?

differential-geometry riemannian-geometry smooth-manifolds isometry

Can the interior of a manifold be orientable but not its boundary?

differential-geometry smooth-manifolds orientation

What is "calculus" on a manifold?

calculus differential-geometry metric-spaces smooth-manifolds

Definition of smooth manifold using sheaves.

differential-geometry manifolds smooth-manifolds sheaf-theory ringed-spaces

Understanding Takens' Embedding theorem

differential-geometry differential-topology smooth-manifolds chaos-theory compact-manifolds