Newbetuts

What is an example of a smooth function in $C^\infty(\mathbb{R}^2)$ which is not contained in $C^\infty(\mathbb{R})\otimes C^\infty(\mathbb{R})$

A lemma for proving Myers-Steenrod theorem

Definition of Maximal atlas

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

A doubt about a proof of chain rule for smooth functions between smooth manifolds

Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

$L$ is submanifold of $\mathbb{R}^n$ with $\dim L\leq n-2$. [duplicate]

Intersection of lines with submanifold

What does it take for a smooth homeomorphism to be a diffeomorphism?

How do we obtain a chart for the sphere $\{x:\|x\|=1\}$ from a chart of the ball $\{x:\|x|\le1\}$?

What are the "technical troubles" with using a metric space rather than a topological space when defining an abstract manifold? (As in Spivak)

To use the regular level set theorem, is it enough to have a maximal rank?

$q$ is a regular value of $f^\circ=f\mid_{M^\circ}$ or $\partial M$, but $S=f^{-1}(q)$ is not a manifold;

An explicit embedding of $S^m \times S^n$ into $\mathbb R^{m + n + 1}$.

$SL(n)$ is a differentiable manifold

How to understand blowing up a submanifold

How to make sense of complex coordinates on manifolds?

New posts in smooth-manifolds

Smooth map on a "non-open" subset

Embedding of closed manifolds of same dimension [closed]

The Pullback Bundle is an Embedded Submanifold of its Parent Space

What is an example of a smooth function in $C^\infty(\mathbb{R}^2)$ which is not contained in $C^\infty(\mathbb{R})\otimes C^\infty(\mathbb{R})$

A lemma for proving Myers-Steenrod theorem

Definition of Maximal atlas

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

A doubt about a proof of chain rule for smooth functions between smooth manifolds

Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

$L$ is submanifold of $\mathbb{R}^n$ with $\dim L\leq n-2$. [duplicate]

Intersection of lines with submanifold

What does it take for a smooth homeomorphism to be a diffeomorphism?

How do we obtain a chart for the sphere $\{x:\|x\|=1\}$ from a chart of the ball $\{x:\|x|\le1\}$?

What are the "technical troubles" with using a metric space rather than a topological space when defining an abstract manifold? (As in Spivak)

To use the regular level set theorem, is it enough to have a maximal rank?

$q$ is a regular value of $f^\circ=f\mid_{M^\circ}$ or $\partial M$, but $S=f^{-1}(q)$ is not a manifold;

An explicit embedding of $S^m \times S^n$ into $\mathbb R^{m + n + 1}$.

$SL(n)$ is a differentiable manifold

How to understand blowing up a submanifold

How to make sense of complex coordinates on manifolds?