Question

Showing that the composition of maps of constant rank does not have to be of constant rank

score 1.1k · Answer 1 · 2026-03-25 07:21:57

1.1k

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Showing that the composition of maps of constant rank does not have to be of constant rank

Published on 25 Mar 2026 - 7:21

score 39 · Answer 2 · 2026-03-23 10:12:42

39

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$\int\limits_M \frac{1}{|x|}dS$ with $M$ a shifted sphere

Published on 23 Mar 2026 - 10:12

score 69 · Answer 3 · 2026-03-25 03:19:20

69

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connected 2D manifold contained in a 2D affine plane

Published on 25 Mar 2026 - 3:19

score 48 · Answer 4 · 2026-03-25 02:57:49

48

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Construct a global invariant measure

Published on 25 Mar 2026 - 2:57

score 208 · Answer 5 · 2026-03-20 00:53:44

208

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Why is this not a valid proof of the Poincare Conjecture?

Published on 20 Mar 2026 - 0:53

score 167 · Answer 6 · 2026-03-17 12:07:31

167

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Induced maps in local homology and isotopies

Published on 17 Mar 2026 - 12:07

score 100 · Answer 7 · 2026-03-24 20:31:54

100

Views

Approximating differentiable function by smooth one with "metric norm" not affected much

Published on 24 Mar 2026 - 20:31

score 31 · Answer 8 · 2026-03-24 20:33:23

31

Views

How to prove $u(x,t+\delta t)\approx \pi_N\left(u(x,t)+\delta t\cdot\partial_t u(x,t)\right)$?

Published on 24 Mar 2026 - 20:33

score 323 · Answer 9 · 2026-03-22 09:55:08

323

Views

Intuitive meaning of attitude error function $\Psi$ defined over $SO(3)$. Is $\Psi$ a metric?

Published on 22 Mar 2026 - 9:55

score 444 · Answer 10 · 2026-03-23 16:16:33

444

Views

Proof about sum of indices of singular points

Published on 23 Mar 2026 - 16:16

score 125 · Answer 11 · 2026-03-21 16:19:07

125

Views

Regarding the definition of a regular submanifold

Published on 21 Mar 2026 - 16:19

score 389 · Answer 12 · 2018-02-07 09:18:17

389

Views

How can I prove that the dimensions of $SO(n)$ and $SL(n)$ are $n(n-1)/2$ and $n^2-1$ respectively?

Published on 07 Feb 2018 - 9:18

score 160 · Answer 13 · 2018-02-07 11:48:04

160

Views

If a manifold is contained in another manifold, is it a regular submanifold?

Published on 07 Feb 2018 - 11:48

score 188 · Answer 14 · 2026-03-22 10:01:53

188

Views

Is the dimension of an immersed manifold unique?

Published on 22 Mar 2026 - 10:01

score 1.3k · Answer 15 · 2026-03-16 19:32:20

1.3k

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Show the disjoint union of 2 n-manifolds is an n-manifold

Published on 16 Mar 2026 - 19:32

List Question

Showing that the composition of maps of constant rank does not have to be of constant rank

$\int\limits_M \frac{1}{|x|}dS$ with $M$ a shifted sphere

connected 2D manifold contained in a 2D affine plane

Construct a global invariant measure

Why is this not a valid proof of the Poincare Conjecture?

Induced maps in local homology and isotopies

Approximating differentiable function by smooth one with "metric norm" not affected much

How to prove $u(x,t+\delta t)\approx \pi_N\left(u(x,t)+\delta t\cdot\partial_t u(x,t)\right)$?

Intuitive meaning of attitude error function $\Psi$ defined over $SO(3)$. Is $\Psi$ a metric?

Proof about sum of indices of singular points

Regarding the definition of a regular submanifold

How can I prove that the dimensions of $SO(n)$ and $SL(n)$ are $n(n-1)/2$ and $n^2-1$ respectively?

If a manifold is contained in another manifold, is it a regular submanifold?

Is the dimension of an immersed manifold unique?

Show the disjoint union of 2 n-manifolds is an n-manifold

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