List questions from differential-geometry

Published on 12 Apr 2026 - 4:00

90

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A computation with derivations and skew-derivations

Published on 14 Apr 2026 - 12:51

1.6k

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Completion of local frames for the tangent bundle of a smooth manifold

Published on 10 Apr 2026 - 9:50

370

Views

Continuity of homotopy in proof of Hopf's Umlaufsatz

Published on 13 Apr 2026 - 12:27

51

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Convex curve has convex interior

Published on 15 Apr 2026 - 22:52

34

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Notation about the curvature

Published on 15 Apr 2026 - 3:52

179

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Unique evolute for arc-parameterized plane curve.

Published on 13 Apr 2026 - 20:08

187

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Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Published on 23 Apr 2026 - 11:18

119

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Partition function for nonlinear sigma model

Published on 10 Apr 2026 - 7:19

103

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Is there a name for manifolds that can be covered by a single chart?

Published on 14 Apr 2026 - 11:08

61

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Question on $B$ unit vector in frenet frame

Published on 16 Apr 2026 - 15:20

34

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Given $E:N\to M$ an embedding and $V,W\in \mathfrak{X}(M)$ tangent to $N$, we claim that the commutator of $V$ and $W$ is also tangent to $N$.

Published on 14 Apr 2026 - 16:28

4.4k

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Definition of osculating plane

Published on 12 Apr 2026 - 1:28

591

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A regular curve has the same curvature as it's projection onto its osculating plane

Published on 15 Apr 2026 - 18:47

301

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Archimedean spiral and length

Published on 12 Apr 2026 - 4:41

List Question

$U\times W \cong V\times W $ does this imply that $U\cong V$

A computation with derivations and skew-derivations

Completion of local frames for the tangent bundle of a smooth manifold

Continuity of homotopy in proof of Hopf's Umlaufsatz

Convex curve has convex interior

Notation about the curvature

Unique evolute for arc-parameterized plane curve.

Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Partition function for nonlinear sigma model

Is there a name for manifolds that can be covered by a single chart?

Question on $B$ unit vector in frenet frame

Given $E:N\to M$ an embedding and $V,W\in \mathfrak{X}(M)$ tangent to $N$, we claim that the commutator of $V$ and $W$ is also tangent to $N$.

Definition of osculating plane

A regular curve has the same curvature as it's projection onto its osculating plane

Archimedean spiral and length

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