Question

A map which preserve lengths of paths has distortion $1$?

score 122 · Answer 1 · 2017-04-13 15:19:17

122

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A map which preserve lengths of paths has distortion $1$?

Published on 13 Apr 2017 - 15:19

score 88 · Answer 2 · 2017-04-14 07:07:04

88

Views

Is there a counterexample to this metric analog of the side-angle-side (SAS) postulate?

Published on 14 Apr 2017 - 7:07

score 87 · Answer 3 · 2026-02-23 10:06:12

87

Views

Euclidean + Taxicab Minkowski Space is Finsler metric?

Published on 23 Feb 2026 - 10:06

score 62 · Answer 4 · 2017-04-24 09:29:16

62

Views

Do the circumferences of spheres scale linearly w.r.t. their radii in normed vector spaces?

Published on 24 Apr 2017 - 9:29

score 288 · Answer 5 · 2017-05-10 01:40:00

288

Views

Maximum number of points attaining acute angles in $\mathbb{R}^n$

Published on 10 May 2017 - 1:40

score 364 · Answer 6 · 2017-05-18 18:35:42

364

Views

Recover Riemannian metric from volume form

Published on 18 May 2017 - 18:35

score 200 · Answer 7 · 2017-05-21 00:41:15

200

Views

Coarsely equivalent spaces have the same asymptotic dimension

Published on 21 May 2017 - 0:41

score 371 · Answer 8 · 2017-06-29 07:19:21

371

Views

Do there exist non-linear models of Euclidean geometry?

Published on 29 Jun 2017 - 7:19

score 373 · Answer 9 · 2017-07-01 20:33:58

373

Views

Is there a way to prove that absolute geometry must take place on a Riemannian manifold?

Published on 01 Jul 2017 - 20:33

score 131 · Answer 10 · 2017-07-01 22:23:03

131

Views

Is this another equivalent version of the parallel postulate?

Published on 01 Jul 2017 - 22:23

score 25 · Answer 11 · 2017-07-02 11:55:17

25

Views

Do these metric space analogs of the parallel postulate have names?

Published on 02 Jul 2017 - 11:55

score 118 · Answer 12 · 2017-07-03 13:24:13

118

Views

Are convex metric spaces the "only" way to study ordered geometry within metric geometry?

Published on 03 Jul 2017 - 13:24

score 1.3k · Answer 13 · 2017-07-03 16:05:09

1.3k

Views

Why aren't the lines in taxicab geometry the geodesics of the $L^1$ metric?

Published on 03 Jul 2017 - 16:05

score 193 · Answer 14 · 2026-02-23 10:02:33

193

Views

Is this a sensible/valid definition for "isotropic metric space"?

Published on 23 Feb 2026 - 10:02

score 251 · Answer 15 · 2017-07-13 13:04:16

251

Views

How to say that the "geometry is the same" at every point of a metric space?

Published on 13 Jul 2017 - 13:04

List Question

A map which preserve lengths of paths has distortion $1$?

Is there a counterexample to this metric analog of the side-angle-side (SAS) postulate?

Euclidean + Taxicab Minkowski Space is Finsler metric?

Do the circumferences of spheres scale linearly w.r.t. their radii in normed vector spaces?

Maximum number of points attaining acute angles in $\mathbb{R}^n$

Recover Riemannian metric from volume form

Coarsely equivalent spaces have the same asymptotic dimension

Do there exist non-linear models of Euclidean geometry?

Is there a way to prove that absolute geometry must take place on a Riemannian manifold?

Is this another equivalent version of the parallel postulate?

Do these metric space analogs of the parallel postulate have names?

Are convex metric spaces the "only" way to study ordered geometry within metric geometry?

Why aren't the lines in taxicab geometry the geodesics of the $L^1$ metric?

Is this a sensible/valid definition for "isotropic metric space"?

How to say that the "geometry is the same" at every point of a metric space?

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