List questions from differential-geometry

Published on 11 Apr 2026 - 21:06

136

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Intuition for immersions and smooth embeddings

Published on 10 Apr 2026 - 20:04

68

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Getting parametrization of a surface starting with a defining function

Published on 12 Apr 2026 - 15:23

260

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Showing a curve to be a geodesic on a surface

Published on 15 Apr 2026 - 20:56

56

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Action of $SO(4)$ on $M$ that is transitive

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2.8k

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Prove the pullback bundle is a vector bundle

Published on 15 Apr 2026 - 17:19

151

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Prove check total space canonical bundle (vector bundle of projective space)

Published on 15 Apr 2026 - 9:23

46

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Let $A ∈ SO(n+1)$ and write $τ(A)$ for the induced map $S^n → S^n$. Prove that $τ(A)\simeq id$

Published on 16 Apr 2026 - 13:29

65

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Differential of a direct product

Published on 14 Apr 2026 - 7:27

97

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Proper map between differential manifold

Published on 16 Apr 2026 - 7:26

209

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Property of the gradient in Differential Geometry

Published on 16 Apr 2026 - 5:27

57

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A difficulty in understanding a paragraph in p.41 in Guillemin & Pollack.

Published on 11 Apr 2026 - 16:55

165

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Lie derivative of differential form

Published on 13 Apr 2026 - 18:33

502

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Does the geometric version of Nakayama's lemma hold for smooth manifolds?

Published on 13 Apr 2026 - 20:46

1.5k

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The relationship between the differential and the directional derivative of a function

Published on 13 Apr 2026 - 7:59

List Question

Coordinate systems and derivative operators

Intuition for immersions and smooth embeddings

Getting parametrization of a surface starting with a defining function

Showing a curve to be a geodesic on a surface

Action of $SO(4)$ on $M$ that is transitive

Prove the pullback bundle is a vector bundle

Prove check total space canonical bundle (vector bundle of projective space)

Let $A ∈ SO(n+1)$ and write $τ(A)$ for the induced map $S^n → S^n$. Prove that $τ(A)\simeq id$

Differential of a direct product

Proper map between differential manifold

Property of the gradient in Differential Geometry

A difficulty in understanding a paragraph in p.41 in Guillemin & Pollack.

Lie derivative of differential form

Does the geometric version of Nakayama's lemma hold for smooth manifolds?

The relationship between the differential and the directional derivative of a function

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