Question

Condition for Riemannian distance to be equal to metric distance

score 43 · Answer 1 · 2019-04-18 12:04:30

43

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Condition for Riemannian distance to be equal to metric distance

Published on 18 Apr 2019 - 12:04

score 47 · Answer 2 · 2026-03-25 17:39:15

47

Views

Definition of $\ell$-dimensional points [Geometric Measure Theory]

Published on 25 Mar 2026 - 17:39

score 595 · Answer 3 · 2026-03-25 15:48:20

595

Views

Weitzenböck identity for $TM$-valued differential forms

Published on 25 Mar 2026 - 15:48

score 86 · Answer 4 · 2019-04-19 09:18:31

86

Views

Please explain the repeated gradient of a function on manifold.

Published on 19 Apr 2019 - 9:18

score 713 · Answer 5 · 2026-03-26 01:18:00

713

Views

Finding curvature of a surface of revolution with metric inherited from $\mathbb{R^3}$

Published on 26 Mar 2026 - 1:18

score 137 · Answer 6 · 2019-04-19 14:08:30

137

Views

How to prove that the equation is not possible

Published on 19 Apr 2019 - 14:08

score 225 · Answer 7 · 2019-04-19 17:22:59

225

Views

Is the warped product: $dr^{2} + r^{2} \gamma$ always flat in 3 dimensions?

Published on 19 Apr 2019 - 17:22

score 216 · Answer 8 · 2026-03-27 08:40:15

216

Views

Computing all possible conformal factors on the sphere

Published on 27 Mar 2026 - 8:40

score 50 · Answer 9 · 2026-03-25 06:35:43

50

Views

How to find an embedded submanifold in $\mathbb{R}^{n}$ which pass through some given points in $\mathbb{R}^{n}$ and has the lowest dimension?

Published on 25 Mar 2026 - 6:35

score 71 · Answer 10 · 2019-04-21 16:57:44

71

Views

$\Delta_g f = 0$ on the Riemannian Manifold $(\mathbb{R}^3 \setminus B , g)$ with conditions on boundary and at infinity

Published on 21 Apr 2019 - 16:57

score 72 · Answer 11 · 2026-03-20 00:07:03

72

Views

A basic question on mutually orthogonal coordinate systems

Published on 20 Mar 2026 - 0:07

score 96 · Answer 12 · 2026-03-25 20:14:15

96

Views

Show that $[\widetilde{X},\widetilde{Y}]^H=\widetilde{[X,Y]}$ and that $[\widetilde{X},W]$ is vertical if $W$ is vertical.

Published on 25 Mar 2026 - 20:14

score 45 · Answer 13 · 2026-03-25 16:03:37

45

Views

$M^n\subset \mathbb{R}^{n+1}$ isometric immersion, $R\equiv 0\Rightarrow M$ locally isometric to $\mathbb{R}^n$?

Published on 25 Mar 2026 - 16:03

score 106 · Answer 14 · 2026-03-25 11:16:31

106

Views

Limit of Laplacian of the distance at the origin

Published on 25 Mar 2026 - 11:16

score 108 · Answer 15 · 2019-04-23 16:52:55

108

Views

Notions of Convexity

Published on 23 Apr 2019 - 16:52

List Question

Condition for Riemannian distance to be equal to metric distance

Definition of $\ell$-dimensional points [Geometric Measure Theory]

Weitzenböck identity for $TM$-valued differential forms

Please explain the repeated gradient of a function on manifold.

Finding curvature of a surface of revolution with metric inherited from $\mathbb{R^3}$

How to prove that the equation is not possible

Is the warped product: $dr^{2} + r^{2} \gamma$ always flat in 3 dimensions?

Computing all possible conformal factors on the sphere

How to find an embedded submanifold in $\mathbb{R}^{n}$ which pass through some given points in $\mathbb{R}^{n}$ and has the lowest dimension?

$\Delta_g f = 0$ on the Riemannian Manifold $(\mathbb{R}^3 \setminus B , g)$ with conditions on boundary and at infinity

A basic question on mutually orthogonal coordinate systems

Show that $[\widetilde{X},\widetilde{Y}]^H=\widetilde{[X,Y]}$ and that $[\widetilde{X},W]$ is vertical if $W$ is vertical.

$M^n\subset \mathbb{R}^{n+1}$ isometric immersion, $R\equiv 0\Rightarrow M$ locally isometric to $\mathbb{R}^n$?

Limit of Laplacian of the distance at the origin

Notions of Convexity

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