List questions from metric-geometry

Published on 17 Jul 2017 - 7:57

166

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Are small balls in a metric space quasi-symmetric to a compact ball connected?

Published on 17 Jul 2017 - 12:36

190

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When does a group of dilations/scalings exist in a metric space?

Published on 19 Jul 2017 - 18:37

2.5k

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What is the mathematical motivation behind metric geometry

Published on 20 Jul 2017 - 1:41

659

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Do local isometries form a group? If so, what is the group for Euclidean space?

Published on 20 Jul 2017 - 10:39

184

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Does curvature affect these "infinitesimal isometry groups"?

Published on 06 Mar 2026 - 2:29

204

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What information can be recovered from the induced metric of a Riemannian manifold?

Published on 01 Aug 2017 - 14:47

98

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Does Gromov-Hausdorff distance depends on the choice of the "ambient" metric space?

Published on 01 Aug 2017 - 18:13

289

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Is the notion of 'divergence to infinity in a direction' used?

Published on 09 Aug 2017 - 22:02

75

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Restricting Foliations by Hopf Circles

Published on 25 Mar 2026 - 11:25

295

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Second derivative of distance function to a point in model spaces.

Published on 12 Oct 2017 - 19:49

43

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Riemann Metric of $\mathcal M_1\cup\mathcal M_2$

Published on 02 Nov 2017 - 1:50

602

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Angles made by a segment in two concentric circles

Published on 14 Dec 2017 - 14:35

194

Views

Kuratowski convergence for unbounded/non-compact sets

Published on 31 Dec 2017 - 15:26

1.3k

Views

Unit speed geodesics

Published on 06 Jun 2012 - 18:01

List Question

Does every homogeneous metric space have a notion of translation?

Are small balls in a metric space quasi-symmetric to a compact ball connected?

When does a group of dilations/scalings exist in a metric space?

What is the mathematical motivation behind metric geometry

Do local isometries form a group? If so, what is the group for Euclidean space?

Does curvature affect these "infinitesimal isometry groups"?

What information can be recovered from the induced metric of a Riemannian manifold?

Does Gromov-Hausdorff distance depends on the choice of the "ambient" metric space?

Is the notion of 'divergence to infinity in a direction' used?

Restricting Foliations by Hopf Circles

Second derivative of distance function to a point in model spaces.

Riemann Metric of $\mathcal M_1\cup\mathcal M_2$

Angles made by a segment in two concentric circles

Kuratowski convergence for unbounded/non-compact sets

Unit speed geodesics

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