Question

Given a spacetime in terms of values of Lorentzian distance, how to determine whether it is flat?

score 119 · Answer 1 · 2015-10-07 05:47:30

119

Views

Given a spacetime in terms of values of Lorentzian distance, how to determine whether it is flat?

Published on 07 Oct 2015 - 5:47

score 224 · Answer 2 · 2026-03-03 07:50:12

224

Views

How can the notion of "two curves just touching" (vs. "two curves intersecting") be expressed for a given metric space?

Published on 03 Mar 2026 - 7:50

score 477 · Answer 3 · 2015-10-25 16:54:27

477

Views

A complete metric space with approximate midpoints is intrinsic

Published on 25 Oct 2015 - 16:54

score 586 · Answer 4 · 2015-10-26 22:27:54

586

Views

When do the intrinsic and extrinsic distances on submanifolds coincide?

Published on 26 Oct 2015 - 22:27

score 476 · Answer 5 · 2026-03-25 09:30:07

476

Views

Centralizers in mapping class groups

Published on 25 Mar 2026 - 9:30

score 568 · Answer 6 · 2026-03-17 09:50:03

568

Views

Hausdorff dimension of homeomorphic compact metric spaces

Published on 17 Mar 2026 - 9:50

score 150 · Answer 7 · 2015-11-26 05:17:03

150

Views

Alternative Geometries

Published on 26 Nov 2015 - 5:17

score 228 · Answer 8 · 2026-03-16 13:23:24

228

Views

To construct a continuous map on compact metric spaces (cf. Gromov-Hausdorff Limit)

Published on 16 Mar 2026 - 13:23

score 248 · Answer 9 · 2016-01-19 12:36:48

248

Views

How to prove $(0,1) \times \mathbb{R} \, , \, (0,2) \times \mathbb{R}$ are not isometric?

Published on 19 Jan 2016 - 12:36

score 463 · Answer 10 · 2026-03-23 00:29:06

463

Views

Any bi-invariant distance on a group is inverse-invariant?

Published on 23 Mar 2026 - 0:29

score 99 · Answer 11 · 2026-03-02 10:53:25

99

Views

What simple topological properties of conic sections can be explored?

Published on 02 Mar 2026 - 10:53

score 1.9k · Answer 12 · 2026-03-23 10:06:44

1.9k

Views

Is there an explicit left invariant metric on the general linear group?

Published on 23 Mar 2026 - 10:06

score 415 · Answer 13 · 2016-02-18 17:23:01

415

Views

Quantifying the angle metric on the Grassmannian in terms of the norm on the exterior power

Published on 18 Feb 2016 - 17:23

score 141 · Answer 14 · 2016-02-26 05:18:21

141

Views

Global Chart implies no cut locus?

Published on 26 Feb 2016 - 5:18

score 1.4k · Answer 15 · 2016-03-03 14:24:16

1.4k

Views

Lower semi-continuity of one dimensional Hausdorff measure under Hausdorff convergence

Published on 03 Mar 2016 - 14:24

List Question

Given a spacetime in terms of values of Lorentzian distance, how to determine whether it is flat?

How can the notion of "two curves just touching" (vs. "two curves intersecting") be expressed for a given metric space?

A complete metric space with approximate midpoints is intrinsic

When do the intrinsic and extrinsic distances on submanifolds coincide?

Centralizers in mapping class groups

Hausdorff dimension of homeomorphic compact metric spaces

Alternative Geometries

To construct a continuous map on compact metric spaces (cf. Gromov-Hausdorff Limit)

How to prove $(0,1) \times \mathbb{R} \, , \, (0,2) \times \mathbb{R}$ are not isometric?

Any bi-invariant distance on a group is inverse-invariant?

What simple topological properties of conic sections can be explored?

Is there an explicit left invariant metric on the general linear group?

Quantifying the angle metric on the Grassmannian in terms of the norm on the exterior power

Global Chart implies no cut locus?

Lower semi-continuity of one dimensional Hausdorff measure under Hausdorff convergence

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