List questions from smooth-manifolds

Published on 01 Apr 2026 - 22:36

73

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Question about diffeomorphisms of tungent bundles.

Published on 25 Mar 2026 - 9:26

264

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Does sheaf of smooth functions recover the smooth structure?

Published on 27 Mar 2026 - 23:40

326

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Is any smooth fibre bundle a smooth Hurewicz fibration?

Published on 25 Mar 2026 - 9:32

322

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Induced smooth structure on on $S^m$ coincides with the one defined by the stereographic projection

Published on 01 Apr 2026 - 22:35

1.4k

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Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions

Published on 27 Mar 2026 - 0:04

434

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Free homotopy class of Riemannian manifold represented by closed geodesic

Published on 25 Mar 2026 - 22:30

90

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It is not clear to me if the disjoint union of a $d_{1}$-manifold and a $d_{2}$-manifold is still a manifold?

Published on 01 Apr 2026 - 22:39

306

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Smooth maps between manifolds

Published on 27 Mar 2026 - 8:49

249

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Proof that such a set is a smooth submanifold.

Published on 27 Mar 2026 - 13:18

52

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$C^k$ mapping of $C^r$ manifolds, $k > r$

Published on 25 Sep 2019 - 6:40

18

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How to show $V$ is an open subset of $NM$?

Published on 02 Apr 2026 - 0:31

392

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If $M$ be a submanifold of $N$, is true that $TM$ is a submanifold of $TN$?

Published on 25 Mar 2026 - 7:46

267

Views

definition of the hyperbolic space

Published on 31 Mar 2026 - 20:09

344

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Whitney Embedding theorem: Lee's lemma in Introduction to Smooth Manifolds

Published on 26 Mar 2026 - 23:09

List Question

Is this a smooth immersion of $\Bbb R^2$ to $\Bbb R^3$?

Question about diffeomorphisms of tungent bundles.

Does sheaf of smooth functions recover the smooth structure?

Is any smooth fibre bundle a smooth Hurewicz fibration?

Induced smooth structure on on $S^m$ coincides with the one defined by the stereographic projection

Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions

Free homotopy class of Riemannian manifold represented by closed geodesic

It is not clear to me if the disjoint union of a $d_{1}$-manifold and a $d_{2}$-manifold is still a manifold?

Smooth maps between manifolds

Proof that such a set is a smooth submanifold.

$C^k$ mapping of $C^r$ manifolds, $k > r$

How to show $V$ is an open subset of $NM$?

If $M$ be a submanifold of $N$, is true that $TM$ is a submanifold of $TN$?

definition of the hyperbolic space

Whitney Embedding theorem: Lee's lemma in Introduction to Smooth Manifolds

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