List questions from differential-geometry

Published on 17 May 2026 - 5:06

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Prove that the sets in $\mathbb{R}^n$ which are both open and closed are $\emptyset$ and $\mathbb{R}^n$

Published on 15 May 2026 - 3:29

180

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Morse index of minimal surfaces in $\mathbb{R}^3$

Published on 13 May 2026 - 21:28

64

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Proof a map is injection

Published on 10 May 2026 - 15:27

230

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Orientability on regular surfaces in R3

Published on 31 Mar 2026 - 10:59

68

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CAT(0) references request

Published on 16 May 2026 - 18:28

272

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domain of exponential map for a compact manifold

Published on 17 May 2026 - 4:12

800

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Exercise 4 of chapter 2 of Do carmo's Riemannian Geometry

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Time derivative of a pullback of a time-dependent 2-form

Published on 05 May 2026 - 0:45

89

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parametrized surface are isometric if all corresponding curves have same length

Published on 16 May 2026 - 8:32

459

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Holonomy group and irreducible $\mathrm{SU}(2)$-connections

Published on 16 May 2026 - 4:30

485

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A finite group G acts freely on a simply connected manifold M

Published on 17 May 2026 - 4:12

1.7k

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Good reference book for fibre bundles and principal bundles

Published on 10 May 2026 - 11:21

504

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Universal cover $\mathbb{S}^3 \rightarrow SO(3)$ through Quaternions.

Published on 07 May 2026 - 18:22

512

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How to prove a Minimal Surface minimizes Surface Tension

Published on 14 May 2026 - 0:53

List Question

Linearity of pushforward of tangent vectors and differentiability

Prove that the sets in $\mathbb{R}^n$ which are both open and closed are $\emptyset$ and $\mathbb{R}^n$

Morse index of minimal surfaces in $\mathbb{R}^3$

Proof a map is injection

Orientability on regular surfaces in R3

CAT(0) references request

domain of exponential map for a compact manifold

Exercise 4 of chapter 2 of Do carmo's Riemannian Geometry

Time derivative of a pullback of a time-dependent 2-form

parametrized surface are isometric if all corresponding curves have same length

Holonomy group and irreducible $\mathrm{SU}(2)$-connections

A finite group G acts freely on a simply connected manifold M

Good reference book for fibre bundles and principal bundles

Universal cover $\mathbb{S}^3 \rightarrow SO(3)$ through Quaternions.

How to prove a Minimal Surface minimizes Surface Tension

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