List questions from isometry

Published on 23 Mar 2026 - 14:21

617

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Are any two isomorphic normed linear spaces homeomorphic?

Published on 25 Mar 2026 - 6:27

205

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Tangent Map of an Isometry and the Shape Operator

Published on 25 Mar 2026 - 4:39

519

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An isometric mapping $f:(X,d) \to (X, d)$ is an open mapping

Published on 18 Apr 2019 - 20:49

44

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$M^n\subset \mathbb{R}^{n+1}$ isometric immersion, $R\equiv 0\Rightarrow M$ locally isometric to $\mathbb{R}^n$?

Published on 23 Apr 2019 - 14:27

138

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Is $\sqrt g$ a pointwise isometry of metric spaces if $g$ is riemannian metric?

Published on 24 Apr 2019 - 8:30

269

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How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Published on 24 Apr 2019 - 19:22

86

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Intuition on an isometry between the taxicab and max metric in $\mathbb{R}^2$.

Published on 26 Apr 2019 - 2:58

68

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All regular simplexes are congruent

Published on 26 Apr 2019 - 17:26

201

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Find bijection $\ell^{\infty} \to [0,1]$

Published on 27 Apr 2019 - 12:53

211

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Prove that if two dense subsets of $X_1$ and $X_2$ are isometric, then $X_1$ and $X_2$ are isometric.

Published on 30 Apr 2019 - 0:59

329

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finding isometries between tangent spaces

Published on 02 May 2019 - 15:19

59

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How to simplify a PDE sistem with Gauss Egregium Theorem?

Published on 02 May 2019 - 18:57

146

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Induced metrics and local isometry

Published on 04 May 2019 - 1:58

192

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Group of isometries generated by an isometry.

Published on 11 May 2019 - 14:57

List Question

Why do we use two constants in the definition of quasi-isometric embedding?

Are any two isomorphic normed linear spaces homeomorphic?

Tangent Map of an Isometry and the Shape Operator

An isometric mapping $f:(X,d) \to (X, d)$ is an open mapping

$M^n\subset \mathbb{R}^{n+1}$ isometric immersion, $R\equiv 0\Rightarrow M$ locally isometric to $\mathbb{R}^n$?

Is $\sqrt g$ a pointwise isometry of metric spaces if $g$ is riemannian metric?

How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Intuition on an isometry between the taxicab and max metric in $\mathbb{R}^2$.

All regular simplexes are congruent

Find bijection $\ell^{\infty} \to [0,1]$

Prove that if two dense subsets of $X_1$ and $X_2$ are isometric, then $X_1$ and $X_2$ are isometric.

finding isometries between tangent spaces

How to simplify a PDE sistem with Gauss Egregium Theorem?

Induced metrics and local isometry

Group of isometries generated by an isometry.

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