Question

$[a,b]$ as a smooth manifold with boundary has global coordinates?

score 268 · Answer 1 · 2026-03-26 20:25:46

268

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$[a,b]$ as a smooth manifold with boundary has global coordinates?

Published on 26 Mar 2026 - 20:25

score 61 · Answer 2 · 2026-03-26 03:11:14

61

Views

What does the right hand side of this Stokes' theorem mean?

Published on 26 Mar 2026 - 3:11

score 3.6k · Answer 3 · 2026-03-30 04:57:33

3.6k

Views

Understanding why the tangent bundle of a unit circle is diffeomorphic to $S^1\times\mathbb R$

Published on 30 Mar 2026 - 4:57

score 353 · Answer 4 · 2026-03-25 19:05:52

353

Views

Using the quotient manifold theorem to show real projective spaces are smooth manifolds

Published on 25 Mar 2026 - 19:05

score 287 · Answer 5 · 2026-03-30 05:01:59

287

Views

Probability distributions on topologically nontrivial manifolds

Published on 30 Mar 2026 - 5:01

score 117 · Answer 6 · 2026-03-26 20:25:50

117

Views

Smooth curve segments and smooth charts

Published on 26 Mar 2026 - 20:25

score 63 · Answer 7 · 2026-03-26 14:18:40

63

Views

Can vector bundle be thought of as below?

Published on 26 Mar 2026 - 14:18

score 605 · Answer 8 · 2026-03-25 12:41:54

605

Views

Spivak Calculus on Manifolds - Tangent space on a boundary point of a manifold

Published on 25 Mar 2026 - 12:41

score 120 · Answer 9 · 2026-03-25 12:41:38

120

Views

On the definition of $\mathrm{d}\omega$ for a $p$-form $\omega$ on a manifold $M$ in Spivak's Calculus on Manifolds

Published on 25 Mar 2026 - 12:41

score 132 · Answer 10 · 2019-03-05 05:01:03

132

Views

Coordinate system of orientable manifolds must be on connected domain?

Published on 05 Mar 2019 - 5:01

score 823 · Answer 11 · 2019-03-05 15:32:19

823

Views

The sphere $S^n$ admits a partition of unity consisting of two functions

Published on 05 Mar 2019 - 15:32

score 129 · Answer 12 · 2026-03-26 06:11:02

129

Views

Example of two homotopically equivalent manifolds such that one admits a symplectic structure and the other does not

Published on 26 Mar 2026 - 6:11

score 35 · Answer 13 · 2026-03-29 22:13:23

35

Views

The unit ball $B^4$ is homogeneous and imbedded in $\mathbb C^3$

Published on 29 Mar 2026 - 22:13

score 144 · Answer 14 · 2026-03-29 03:36:26

144

Views

Show that $f(v)=f(0)+\langle df(0),v\rangle_{x}+\frac{1}{2}\langle d^{2}f(0)v,v\rangle_{x}+o(\|v\|^{2})$

Published on 29 Mar 2026 - 3:36

score 79 · Answer 15 · 2026-03-30 06:36:57

79

Views

What does it mean for a smooth atlas to not be properly contained in any larger smooth atlas?

Published on 30 Mar 2026 - 6:36

List Question

$[a,b]$ as a smooth manifold with boundary has global coordinates?

What does the right hand side of this Stokes' theorem mean?

Understanding why the tangent bundle of a unit circle is diffeomorphic to $S^1\times\mathbb R$

Using the quotient manifold theorem to show real projective spaces are smooth manifolds

Probability distributions on topologically nontrivial manifolds

Smooth curve segments and smooth charts

Can vector bundle be thought of as below?

Spivak Calculus on Manifolds - Tangent space on a boundary point of a manifold

On the definition of $\mathrm{d}\omega$ for a $p$-form $\omega$ on a manifold $M$ in Spivak's Calculus on Manifolds

Coordinate system of orientable manifolds must be on connected domain?

The sphere $S^n$ admits a partition of unity consisting of two functions

Example of two homotopically equivalent manifolds such that one admits a symplectic structure and the other does not

The unit ball $B^4$ is homogeneous and imbedded in $\mathbb C^3$

Show that $f(v)=f(0)+\langle df(0),v\rangle_{x}+\frac{1}{2}\langle d^{2}f(0)v,v\rangle_{x}+o(\|v\|^{2})$

What does it mean for a smooth atlas to not be properly contained in any larger smooth atlas?

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