Question

Complete Riemannian metrics in cylinder $\mathbb{R}\times X$ and cones $\mathbb{R}^{+}\times X$

score 572 · Answer 1 · 2015-03-17 02:09:59

572

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Complete Riemannian metrics in cylinder $\mathbb{R}\times X$ and cones $\mathbb{R}^{+}\times X$

Published on 17 Mar 2015 - 2:09

score 316 · Answer 2 · 2026-04-14 04:25:17

316

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If $\dfrac{\mathrm {circumference}}{\mathrm {diameter}}$ is the same for all circles, does the surface have to be flat?

Published on 14 Apr 2026 - 4:25

score 279 · Answer 3 · 2026-04-10 16:04:20

279

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Petersen Riemannian geometry p86

Published on 10 Apr 2026 - 16:04

score 77 · Answer 4 · 2026-04-11 12:46:42

77

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About prime geodesic cycles and deck transformations group

Published on 11 Apr 2026 - 12:46

score 2.1k · Answer 5 · 2026-04-13 06:39:24

2.1k

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Reference: In every free homotopy class is a unique minimizing closed geodesic

Published on 13 Apr 2026 - 6:39

score 345 · Answer 6 · 2026-04-16 05:31:42

345

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Are all 2D tensors in a specified flat metric equal to that same metric conformally scaled?

Published on 16 Apr 2026 - 5:31

score 271 · Answer 7 · 2026-04-13 16:49:27

271

Views

The normal curvature is bounded by the principal curvatures.

Published on 13 Apr 2026 - 16:49

score 5.7k · Answer 8 · 2026-04-11 17:38:47

5.7k

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What is the differential of left translation?

Published on 11 Apr 2026 - 17:38

score 1.1k · Answer 9 · 2026-04-15 07:14:56

1.1k

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Riemann metric in the open disk

Published on 15 Apr 2026 - 7:14

score 233 · Answer 10 · 2026-04-11 14:44:18

233

Views

An application of Nash's embedding theorem to manifolds with fixed volume form

Published on 11 Apr 2026 - 14:44

score 106 · Answer 11 · 2026-04-17 09:17:49

106

Views

How to prove that $\forall$ Riemannian manifold $M$, $T\in C^{1}(M)$ and $x,y\in M$ close enough: $d(Ty,exp_{Tx}(D_xTexp^{-1}_xy))\leq d(x,y)$?

Published on 17 Apr 2026 - 9:17

score 683 · Answer 12 · 2026-04-10 07:49:48

683

Views

Connectedness and Hopf-Rinow Theorem

Published on 10 Apr 2026 - 7:49

score 1.1k · Answer 13 · 2026-04-09 10:58:36

1.1k

Views

Manifolds with volume forms on every submanifold

Published on 09 Apr 2026 - 10:58

score 109 · Answer 14 · 2026-04-15 13:40:46

109

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Invariance of ball size under translation on the pseudosphere

Published on 15 Apr 2026 - 13:40

score 262 · Answer 15 · 2026-04-17 10:10:39

262

Views

Characterization of locally conformally flat manifolds with Frobenius theorem

Published on 17 Apr 2026 - 10:10

List Question

Complete Riemannian metrics in cylinder $\mathbb{R}\times X$ and cones $\mathbb{R}^{+}\times X$

If $\dfrac{\mathrm {circumference}}{\mathrm {diameter}}$ is the same for all circles, does the surface have to be flat?

Petersen Riemannian geometry p86

About prime geodesic cycles and deck transformations group

Reference: In every free homotopy class is a unique minimizing closed geodesic

Are all 2D tensors in a specified flat metric equal to that same metric conformally scaled?

The normal curvature is bounded by the principal curvatures.

What is the differential of left translation?

Riemann metric in the open disk

An application of Nash's embedding theorem to manifolds with fixed volume form

How to prove that $\forall$ Riemannian manifold $M$, $T\in C^{1}(M)$ and $x,y\in M$ close enough: $d(Ty,exp_{Tx}(D_xTexp^{-1}_xy))\leq d(x,y)$?

Connectedness and Hopf-Rinow Theorem

Manifolds with volume forms on every submanifold

Invariance of ball size under translation on the pseudosphere

Characterization of locally conformally flat manifolds with Frobenius theorem

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