Question

Confusion about the Definition of Smooth Functions on a Manifold

score 152 · Answer 1 · 2026-04-07 03:58:23

152

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Confusion about the Definition of Smooth Functions on a Manifold

Published on 07 Apr 2026 - 3:58

score 35 · Answer 2 · 2026-03-26 06:20:02

35

Views

Structure preserving maps between manifolds with boundary

Published on 26 Mar 2026 - 6:20

score 194 · Answer 3 · 2026-04-06 07:59:54

194

Views

Torus bundle over sphere

Published on 06 Apr 2026 - 7:59

score 43 · Answer 4 · 2026-03-26 01:18:00

43

Views

How to obtain real vector from abstract tangent vector in the case of the manifold $\mathbb R^n$

Published on 26 Mar 2026 - 1:18

score 100 · Answer 5 · 2026-04-01 06:55:48

100

Views

If $\omega$ is a differential $4$-form on a $10$-manifold $M$ then $\omega \wedge d\omega$ is exact

Published on 01 Apr 2026 - 6:55

score 398 · Answer 6 · 2026-04-07 05:38:03

398

Views

How does the ring of smooth functions fail to be a field?

Published on 07 Apr 2026 - 5:38

score 112 · Answer 7 · 2026-03-27 17:52:20

112

Views

Determining the differential of a map defined on a submanifold of $\Bbb R^n$

Published on 27 Mar 2026 - 17:52

score 734 · Answer 8 · 2026-04-07 05:35:35

734

Views

Does smooth manifold implies unique tangent space at each point?

Published on 07 Apr 2026 - 5:35

score 140 · Answer 9 · 2020-06-07 08:52:05

140

Views

Dieudonné: Treatise on Analysis, chapter 16, differentiable manifolds: Common principle used for proofs

Published on 07 Jun 2020 - 8:52

score 98 · Answer 10 · 2026-03-25 23:42:36

98

Views

Proving the union of tangent spaces of $M\subset\Bbb{R}^{p}$ has measure zero if $2\dim M < p$

Published on 25 Mar 2026 - 23:42

score 65 · Answer 11 · 2026-04-06 01:53:43

65

Views

Consider a function $f \colon U \to X$, if $f$ is the identity when acting on $X$, then $df_x$ is also the identity for all $x \in X$?

Published on 06 Apr 2026 - 1:53

score 126 · Answer 12 · 2020-06-08 04:44:06

126

Views

Is there a "non-curved" manifold?

Published on 08 Jun 2020 - 4:44

score 261 · Answer 13 · 2020-06-08 13:09:47

261

Views

Manifold with a nilpotent fundamental group.

Published on 08 Jun 2020 - 13:09

score 270 · Answer 14 · 2026-03-30 00:19:34

270

Views

Understanding the disk model of projective space $\mathbb{P}^n(\mathbb{R})$

Published on 30 Mar 2026 - 0:19

score 262 · Answer 15 · 2026-03-27 19:32:22

262

Views

What can we say about a not-regular level sets of a smooth function?

Published on 27 Mar 2026 - 19:32

List Question

Confusion about the Definition of Smooth Functions on a Manifold

Structure preserving maps between manifolds with boundary

Torus bundle over sphere

How to obtain real vector from abstract tangent vector in the case of the manifold $\mathbb R^n$

If $\omega$ is a differential $4$-form on a $10$-manifold $M$ then $\omega \wedge d\omega$ is exact

How does the ring of smooth functions fail to be a field?

Determining the differential of a map defined on a submanifold of $\Bbb R^n$

Does smooth manifold implies unique tangent space at each point?

Dieudonné: Treatise on Analysis, chapter 16, differentiable manifolds: Common principle used for proofs

Proving the union of tangent spaces of $M\subset\Bbb{R}^{p}$ has measure zero if $2\dim M < p$

Consider a function $f \colon U \to X$, if $f$ is the identity when acting on $X$, then $df_x$ is also the identity for all $x \in X$?

Is there a "non-curved" manifold?

Manifold with a nilpotent fundamental group.

Understanding the disk model of projective space $\mathbb{P}^n(\mathbb{R})$

What can we say about a not-regular level sets of a smooth function?

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