List questions from metric-geometry

Published on 06 Feb 2022 - 1:33

68

Views

Asymptotic bi-infinite geodesics in CAT($-1$) space coincides

Published on 06 Feb 2022 - 15:05

120

Views

Is my proof that a constant speed geodesic is a geodesic correct?

Published on 06 Feb 2022 - 19:33

45

Views

How to show the limit space is totally bounded in the proof of completeness of Gromov-Hausdorff metric space?

Published on 25 Mar 2026 - 19:12

37

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Two points inside a triangle x distance away from each other, at least one of it must be x distance away from one of the vertices of a triangle.

Published on 09 Feb 2022 - 11:00

67

Views

What is the degeneracy of the "Coxeter plane" for the E8 lattice?

Published on 20 Feb 2022 - 7:02

55

Views

Algebraic Characterisation of the End Space of a proper geodesic space in terms of non-continuous functions

Published on 27 Feb 2022 - 19:18

58

Views

Spectral radius of a finitely generated group

Published on 23 Feb 2026 - 13:06

62

Views

When does the union of all geodesics equal the metric interval?

Published on 01 Apr 2022 - 18:20

51

Views

Do there exist theorems of de Sitter geometry, just as there are theorems of Minkowski and anti-de Sitter geometry?

Published on 23 Feb 2026 - 12:08

208

Views

Length formula for Lipschitz curve, i.e. ${\rm Length}\ \gamma = \int_a^b|\gamma '(t)| dt $

Published on 02 Jun 2022 - 12:39

181

Views

Question about example of CAT($k$) space

Published on 03 Jun 2022 - 16:23

62

Views

Why a retraction from a building to an apartment is not isometric?

Published on 16 Mar 2026 - 12:47

110

Views

A question about second fundamental form of Riemannian isometric embedding

Published on 21 Jul 2022 - 20:51

32

Views

Local Lipschitz constants and a slightly weaker concept

Published on 25 Jul 2022 - 22:29

List Question

Existence of a geodesic with endpoints at infinity

Asymptotic bi-infinite geodesics in CAT($-1$) space coincides

Is my proof that a constant speed geodesic is a geodesic correct?

How to show the limit space is totally bounded in the proof of completeness of Gromov-Hausdorff metric space?

Two points inside a triangle x distance away from each other, at least one of it must be x distance away from one of the vertices of a triangle.

What is the degeneracy of the "Coxeter plane" for the E8 lattice?

Algebraic Characterisation of the End Space of a proper geodesic space in terms of non-continuous functions

Spectral radius of a finitely generated group

When does the union of all geodesics equal the metric interval?

Do there exist theorems of de Sitter geometry, just as there are theorems of Minkowski and anti-de Sitter geometry?

Length formula for Lipschitz curve, i.e. ${\rm Length}\ \gamma = \int_a^b|\gamma '(t)| dt $

Question about example of CAT($k$) space

Why a retraction from a building to an apartment is not isometric?

A question about second fundamental form of Riemannian isometric embedding

Local Lipschitz constants and a slightly weaker concept

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