List questions from differential-geometry

Published on 16 Apr 2026 - 3:19

476

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What does do Carmo mean here and also what is a curve parametrized by arc length?

Published on 16 Apr 2026 - 1:30

343

Views

Hopf Conjecture about Curvature and Topology

Published on 13 Apr 2026 - 7:34

3k

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Homeomorphism between the unit disc and the unit square

Published on 16 Apr 2026 - 0:00

911

Views

Why is an inclusion map from an open subset smooth?

Published on 11 Apr 2026 - 16:17

37

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"Dividing through by Dp" in Joule Thomson effect

Published on 16 Apr 2026 - 10:18

53

Views

Vector component changes after parallel transport on a curved surface in terms of Riemann Curvature Tensor

Published on 13 Apr 2026 - 18:19

407

Views

A plane $P$ contained in $\mathbb R^3$ is given by the equation $ax +by +cz+d=0$. Show that the vector $v = (a, b, c)$ is perpendicular to the plane.

Published on 14 Apr 2026 - 18:39

217

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Is Pull back of Lie group a Lie group?

Published on 11 Apr 2026 - 15:33

50

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Definition of a submanifold of $\mathbb{R}^n$.

Published on 14 Apr 2026 - 11:30

1k

Views

vector field of a sphere

Published on 14 Apr 2026 - 11:08

463

Views

Does the volume of a submanifold depend on a choice of coordinates?

Published on 13 Apr 2026 - 20:47

95

Views

Shape operator of pseudo-spheres

Published on 11 Apr 2026 - 14:45

577

Views

What does it mean to find the distance from the origin to a plane in $\mathbb R^3$?

Published on 11 Apr 2026 - 19:09

538

Views

How to find a global flat chart?

Published on 10 Apr 2026 - 5:04

List Question

On the total derivative of a differential form.

What does do Carmo mean here and also what is a curve parametrized by arc length?

Hopf Conjecture about Curvature and Topology

Homeomorphism between the unit disc and the unit square

Why is an inclusion map from an open subset smooth?

"Dividing through by Dp" in Joule Thomson effect

Vector component changes after parallel transport on a curved surface in terms of Riemann Curvature Tensor

A plane $P$ contained in $\mathbb R^3$ is given by the equation $ax +by +cz+d=0$. Show that the vector $v = (a, b, c)$ is perpendicular to the plane.

Is Pull back of Lie group a Lie group?

Definition of a submanifold of $\mathbb{R}^n$.

vector field of a sphere

Does the volume of a submanifold depend on a choice of coordinates?

Shape operator of pseudo-spheres

What does it mean to find the distance from the origin to a plane in $\mathbb R^3$?

How to find a global flat chart?

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