List questions from smooth-manifolds

Published on 25 Mar 2026 - 6:04

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Inverse function theorem for manifolds

Published on 25 Mar 2026 - 12:35

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(leeSM 2-4) show inclusion map $i: \overline{B}^n \hookrightarrow R^n$ is smooth, where $\overline{B}^n$ regarded as smooth manifold w/ boundary

Published on 14 Oct 2019 - 0:48

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Proposition 17.11 - Tu's Introduction to Manifolds

Published on 14 Oct 2019 - 8:51

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Properties of Tensor field pullbacks

Published on 23 Feb 2026 - 6:34

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Show that the graph of a smooth map is a submanifold.

Published on 01 Apr 2026 - 0:52

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Is any immersed manifold also embedded?

Published on 14 Oct 2019 - 23:26

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How to prove that $\frac{d}{dt}|_{t=t_0}(\theta_t^A)_p=(\theta_{t_0}^(\mathscr{L}_VA))_p$, 12.36 in Lee's Introduction to Smooth Manifolds

Published on 26 Mar 2026 - 1:12

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Proof that divergence is independent of choice of coordinate system

Published on 26 Mar 2026 - 20:16

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Manifold: induced topology on the graph of a function.

Published on 16 Oct 2019 - 15:54

790

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What's an example where the inclusion map $\iota: A \to B$ is smooth and a topological embedding but not an immersion?

Published on 03 Apr 2026 - 12:35

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Show that $((0,1)\times(0,1))\cup(\{1\}\times[0,1])$ is not a smooth manifold with boundary$

Published on 26 Mar 2026 - 1:16

66

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local homeomorphism between $\mathfrak{so}(n)$ and $SO(n)$

Published on 03 Apr 2026 - 7:35

145

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The Uniqueness Part of the Smooth-Manifold-Chart-Lemma in John M. Lee's: Question on an answer.

Published on 18 Oct 2019 - 16:49

248

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Vector field induced by parallel translation is smooth

Published on 26 Mar 2026 - 7:38

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Geometric and Visual explanation of Symplectic viewpoint of classical mechanics

Inverse function theorem for manifolds

(leeSM 2-4) show inclusion map $i: \overline{B}^n \hookrightarrow R^n$ is smooth, where $\overline{B}^n$ regarded as smooth manifold w/ boundary

Proposition 17.11 - Tu's Introduction to Manifolds

Properties of Tensor field pullbacks

Show that the graph of a smooth map is a submanifold.

Is any immersed manifold also embedded?

How to prove that $\frac{d}{dt}|_{t=t_0}(\theta_t^A)_p=(\theta_{t_0}^(\mathscr{L}_VA))_p$, 12.36 in Lee's Introduction to Smooth Manifolds

Proof that divergence is independent of choice of coordinate system

Manifold: induced topology on the graph of a function.

What's an example where the inclusion map $\iota: A \to B$ is smooth and a topological embedding but not an immersion?

Show that $((0,1)\times(0,1))\cup(\{1\}\times[0,1])$ is not a smooth manifold with boundary$

local homeomorphism between $\mathfrak{so}(n)$ and $SO(n)$

The Uniqueness Part of the Smooth-Manifold-Chart-Lemma in John M. Lee's: Question on an answer.

Vector field induced by parallel translation is smooth

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