List questions from isometry

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Riemannian connection under isometry

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119

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Bounded linear invertible operator of norm 1

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213

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Embedding of the hyperbolic 3-space into the 4-dimensional Euclidean space

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Isometry between $C[a,b]$ and $C[0,1]$

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Show that antipodal points remain antipodal under any isometry of $S^2$

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To deduce that neither of the metric spaces $(\mathbb{R}^n, d_1)$ and $(\mathbb{R}^n, d_{\infty})$ is isometric to $(\mathbb{R}^n, d_2)$.

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163

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Quotient group of $D(2,3,7)$ under the Klein Quartic

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Is c isometrically isomorphic $c \times c$?

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Isometries of the hyperbolic plane in the Beltrami–Klein disk model

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332

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The meaning of a partial isometry

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Isometry between cone and plane

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206

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The characteristic polynomial of a rotation satisfies the relation $f(\lambda) = (-\lambda)^n f(\lambda^{-1})$

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Isometry of surfaces

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$|\langle v,w \rangle |=0 \implies \langle f(v),f(w) \rangle=0 $ then there is a constant $\lambda \in \mathbb{R}$ such that $\lambda f$ is isometric.

Published on 29 Apr 2026 - 12:53

List Question

The sphere is not uniformly close to being isometric to Euclidean space

Riemannian connection under isometry

Bounded linear invertible operator of norm 1

Embedding of the hyperbolic 3-space into the 4-dimensional Euclidean space

Isometry between $C[a,b]$ and $C[0,1]$

Show that antipodal points remain antipodal under any isometry of $S^2$

To deduce that neither of the metric spaces $(\mathbb{R}^n, d_1)$ and $(\mathbb{R}^n, d_{\infty})$ is isometric to $(\mathbb{R}^n, d_2)$.

Quotient group of $D(2,3,7)$ under the Klein Quartic

Is c isometrically isomorphic $c \times c$?

Isometries of the hyperbolic plane in the Beltrami–Klein disk model

The meaning of a partial isometry

Isometry between cone and plane

The characteristic polynomial of a rotation satisfies the relation $f(\lambda) = (-\lambda)^n f(\lambda^{-1})$

Isometry of surfaces

$|\langle v,w \rangle |=0 \implies \langle f(v),f(w) \rangle=0 $ then there is a constant $\lambda \in \mathbb{R}$ such that $\lambda f$ is isometric.

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