List questions from isometry

Published on 22 Feb 2018 - 8:53

394

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Riemannian connection under isometry

Published on 22 Mar 2026 - 10:23

114

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Bounded linear invertible operator of norm 1

Published on 22 Mar 2026 - 17:03

207

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

Published on 24 Feb 2018 - 15:45

1.5k

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

Published on 22 Mar 2026 - 7:32

494

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

Published on 06 Mar 2018 - 7:02

148

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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 $(\mathbb{R}^n, d_2)$.

Published on 08 Mar 2018 - 9:00

158

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

Published on 13 Mar 2018 - 3:49

355

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Is c isometrically isomorphic $c \times c$?

Published on 22 Mar 2026 - 20:07

1.5k

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

Published on 15 Mar 2018 - 22:08

326

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The meaning of a partial isometry

Published on 22 Mar 2026 - 4:00

2.4k

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Isometry between cone and plane

Published on 22 Mar 2026 - 3:13

200

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

Published on 23 Mar 2018 - 6:43

1.3k

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Isometry of surfaces

Published on 21 Mar 2026 - 20:46

62

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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 16 Mar 2026 - 20:37

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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