Question

What is the parametrisation of the flat torus: $\mathbb{T}^2 = \mathbb{E}^2/\mathbb{Z}^2$?

score 362 · Answer 1 · 2026-04-15 07:16:20

362

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What is the parametrisation of the flat torus: $\mathbb{T}^2 = \mathbb{E}^2/\mathbb{Z}^2$?

Published on 15 Apr 2026 - 7:16

score 463 · Answer 2 · 2026-05-10 14:34:53

463

Views

Is every orientable surface a 2-folded covering of a non-orientable surface?

Published on 10 May 2026 - 14:34

score 223 · Answer 3 · 2026-05-10 12:32:37

223

Views

Geodesic on a flat $\mathbb{R}^2$ space with an induced metric.

Published on 10 May 2026 - 12:32

score 1.9k · Answer 4 · 2026-05-10 14:50:38

1.9k

Views

tangent plane to level set

Published on 10 May 2026 - 14:50

score 86 · Answer 5 · 2026-04-14 16:52:36

86

Views

I want to show that this set is open in $\mathbb{R}^3$

Published on 14 Apr 2026 - 16:52

score 136 · Answer 6 · 2026-05-10 15:48:00

136

Views

Why is $d \vec S = (\frac{\partial r}{\partial u}) \times (\frac{\partial r}{\partial v}) \ du\ dv$ and not $=(\nabla F)\ du \ dv$ on $S$?

Published on 10 May 2026 - 15:48

score 126 · Answer 7 · 2026-04-11 15:09:30

126

Views

What is an open surface bounded by a closed contour

Published on 11 Apr 2026 - 15:09

score 405 · Answer 8 · 2026-05-02 18:42:00

405

Views

Calculating a normal vector field for a surface defined by spherical harmonics

Published on 02 May 2026 - 18:42

score 88 · Answer 9 · 2026-04-14 11:18:21

88

Views

What is the type of this surface?

Published on 14 Apr 2026 - 11:18

score 56 · Answer 10 · 2026-04-13 17:04:17

56

Views

Can we eliminate adjacent opposing pairs while classifying the surface in other than the second step?

Published on 13 Apr 2026 - 17:04

score 2.3k · Answer 11 · 2026-05-10 12:31:50

2.3k

Views

Finding Geodesics on the Unit Cylinder

Published on 10 May 2026 - 12:31

score 201 · Answer 12 · 2026-05-10 14:32:02

201

Views

which book,or paper I should read to learn and doing some work on isometry of surfaces?

Published on 10 May 2026 - 14:32

score 204 · Answer 13 · 2026-04-13 02:25:01

204

Views

Calculating surface area of parametric surface when integral has square root

Published on 13 Apr 2026 - 2:25

score 818 · Answer 14 · 2026-05-10 14:35:45

818

Views

Covering of torus by orientable surface of genus g

Published on 10 May 2026 - 14:35

score 65 · Answer 15 · 2026-04-12 15:52:47

65

Views

Vector Integration in the surface of a sphere (difficult but very interesting question)

Published on 12 Apr 2026 - 15:52

List Question

What is the parametrisation of the flat torus: $\mathbb{T}^2 = \mathbb{E}^2/\mathbb{Z}^2$?

Is every orientable surface a 2-folded covering of a non-orientable surface?

Geodesic on a flat $\mathbb{R}^2$ space with an induced metric.

tangent plane to level set

I want to show that this set is open in $\mathbb{R}^3$

Why is $d \vec S = (\frac{\partial r}{\partial u}) \times (\frac{\partial r}{\partial v}) \ du\ dv$ and not $=(\nabla F)\ du \ dv$ on $S$?

What is an open surface bounded by a closed contour

Calculating a normal vector field for a surface defined by spherical harmonics

What is the type of this surface?

Can we eliminate adjacent opposing pairs while classifying the surface in other than the second step?

Finding Geodesics on the Unit Cylinder

which book,or paper I should read to learn and doing some work on isometry of surfaces?

Calculating surface area of parametric surface when integral has square root

Covering of torus by orientable surface of genus g

Vector Integration in the surface of a sphere (difficult but very interesting question)

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