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 48 · Answer 2 · 2026-05-07 12:08:39

48

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

Published on 07 May 2026 - 12:08

score 71 · Answer 3 · 2026-04-15 18:13:12

71

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connected 2D manifold contained in a 2D affine plane

Published on 15 Apr 2026 - 18:13

score 51 · Answer 4 · 2026-04-09 12:10:26

51

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Construct a global invariant measure

Published on 09 Apr 2026 - 12:10

score 220 · Answer 5 · 2026-05-07 11:30:15

220

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

Published on 07 May 2026 - 11:30

score 173 · Answer 6 · 2026-04-29 12:56:33

173

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Induced maps in local homology and isotopies

Published on 29 Apr 2026 - 12:56

score 103 · Answer 7 · 2026-05-10 14:58:54

103

Views

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

Published on 10 May 2026 - 14:58

score 33 · Answer 8 · 2026-05-05 07:15:08

33

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 05 May 2026 - 7:15

score 333 · Answer 9 · 2026-05-10 09:16:49

333

Views

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

Published on 10 May 2026 - 9:16

score 455 · Answer 10 · 2026-05-06 03:52:54

455

Views

Proof about sum of indices of singular points

Published on 06 May 2026 - 3:52

score 126 · Answer 11 · 2026-03-25 11:11:38

126

Views

Regarding the definition of a regular submanifold

Published on 25 Mar 2026 - 11:11

score 392 · Answer 12 · 2026-04-15 16:59:41

392

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 15 Apr 2026 - 16:59

score 163 · Answer 13 · 2026-04-16 13:58:49

163

Views

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

Published on 16 Apr 2026 - 13:58

score 189 · Answer 14 · 2026-03-25 16:02:01

189

Views

Is the dimension of an immersed manifold unique?

Published on 25 Mar 2026 - 16:02

score 1.3k · Answer 15 · 2026-03-25 12:50:16

1.3k

Views

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

Published on 25 Mar 2026 - 12:50

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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