List questions from metric-geometry

Published on 25 Mar 2026 - 18:59

82

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Distance between geodesic rays 2

Published on 25 Mar 2026 - 17:35

81

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If an isometry $f$ of a length space $X$ fixes a ball $B(x,r)$ for some $x$ and $r>0$, is it true that $f$ is the identity map?

Published on 12 Oct 2021 - 18:33

161

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Question on the distortion of a metric embedding and Lipschitz maps

Published on 15 Oct 2021 - 16:56

28

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Does the Besicovitch Covering Property hold on finitely generated groups of polynomial growth when equipped with the word length metric?

Published on 17 Oct 2021 - 1:06

152

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Does this property of projection on metric space hold or not?

Published on 26 Oct 2021 - 2:52

681

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Why aren't derivatives defined on metric spaces?

Published on 28 Oct 2021 - 20:41

218

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A set of points is contained in a sphere $S$. When is $S$ also the circumsphere?

Published on 14 Dec 2021 - 16:09

92

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Total Curvature for a curve in a metric space

Published on 20 Dec 2021 - 23:22

179

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Continuous quasi-isometry between Riemannian manifolds

Published on 31 Dec 2021 - 19:57

98

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Borel quasi-isometry between proper geodesic spaces

Published on 03 Jan 2022 - 22:57

149

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Gromov product on the boundary

Published on 25 Mar 2026 - 17:52

73

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Floyd Compactification

Published on 26 Jan 2022 - 13:03

74

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Quasi-isometry between an once-punctured torus and the Loch Ness Monster under suitable metrics

Published on 28 Jan 2022 - 6:38

223

Views

Derivative of distance along a smooth curve

Published on 02 Feb 2022 - 17:11

List Question

Distance between geodesic rays

Distance between geodesic rays 2

If an isometry $f$ of a length space $X$ fixes a ball $B(x,r)$ for some $x$ and $r>0$, is it true that $f$ is the identity map?

Question on the distortion of a metric embedding and Lipschitz maps

Does the Besicovitch Covering Property hold on finitely generated groups of polynomial growth when equipped with the word length metric?

Does this property of projection on metric space hold or not?

Why aren't derivatives defined on metric spaces?

A set of points is contained in a sphere $S$. When is $S$ also the circumsphere?

Total Curvature for a curve in a metric space

Continuous quasi-isometry between Riemannian manifolds

Borel quasi-isometry between proper geodesic spaces

Gromov product on the boundary

Floyd Compactification

Quasi-isometry between an once-punctured torus and the Loch Ness Monster under suitable metrics

Derivative of distance along a smooth curve

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