Question

Two sets isometric to their union

score 186 · Answer 1 · 2026-04-13 09:40:24

186

Views

Two sets isometric to their union

Published on 13 Apr 2026 - 9:40

score 237 · Answer 2 · 2026-04-16 03:56:02

237

Views

When can we extend distance-preserving maps between finite sets of points to isometries?

Published on 16 Apr 2026 - 3:56

score 517 · Answer 3 · 2026-04-11 10:54:41

517

Views

Showing an isometry.

Published on 11 Apr 2026 - 10:54

score 300 · Answer 4 · 2026-04-12 22:19:16

300

Views

Are finitely generated virtually abelian groups space $\times$ finite?

Published on 12 Apr 2026 - 22:19

score 124 · Answer 5 · 2026-03-25 01:18:26

124

Views

Uniqueness (up to isometries) of a $L^TL$ factorization of a PSD matrix.

Published on 25 Mar 2026 - 1:18

score 38 · Answer 6 · 2026-04-11 01:05:29

38

Views

How to show that the dot product of $h(x)$ and $h(y)$ can be expressed as $h(x)^{tr} * h(y)$?

Published on 11 Apr 2026 - 1:05

score 48 · Answer 7 · 2026-04-14 14:37:30

48

Views

Prove that $h:\mathbb{R}^n \to \mathbb{R}^n $ (not necessarily linear) can be written uniquely of the form $h(x) = \sum_{i=1}^n \alpha_i (x) a_i,$

Published on 14 Apr 2026 - 14:37

score 328 · Answer 8 · 2026-04-12 03:20:41

328

Views

Is a non-euclidean-norm preserving map necessarily linear?

Published on 12 Apr 2026 - 3:20

score 120 · Answer 9 · 2026-04-16 12:41:08

120

Views

Distance and origin preserving map between two normed vector spaces

Published on 16 Apr 2026 - 12:41

score 31 · Answer 10 · 2026-04-15 09:43:44

31

Views

Let $Y$ and $Z$ be completions of $X$, then there exists an isometry from $Y$ onto $Z$.

Published on 15 Apr 2026 - 9:43

score 432 · Answer 11 · 2026-04-11 03:11:30

432

Views

isometry preserves the coefficient of second fundamental form?

Published on 11 Apr 2026 - 3:11

score 63 · Answer 12 · 2026-04-10 21:13:24

63

Views

Permutation matrix preseves volume of a set in Euclidean space

Published on 10 Apr 2026 - 21:13

score 619 · Answer 13 · 2026-05-10 15:52:45

619

Views

Are Riemannian manifolds only referred to as diffeomorphic if the diffeomorphism is an isometry?

Published on 10 May 2026 - 15:52

score 100 · Answer 14 · 2026-04-15 07:54:55

100

Views

Prove that the following R linear map is an isometry.

Published on 15 Apr 2026 - 7:54

score 1.4k · Answer 15 · 2026-04-14 07:40:53

1.4k

Views

Every finite dimensional normed (real) space is isometrically isomorphic to $\mathbf R^n$

Published on 14 Apr 2026 - 7:40

List Question

Two sets isometric to their union

When can we extend distance-preserving maps between finite sets of points to isometries?

Showing an isometry.

Are finitely generated virtually abelian groups space $\times$ finite?

Uniqueness (up to isometries) of a $L^TL$ factorization of a PSD matrix.

How to show that the dot product of $h(x)$ and $h(y)$ can be expressed as $h(x)^{tr} * h(y)$?

Prove that $h:\mathbb{R}^n \to \mathbb{R}^n $ (not necessarily linear) can be written uniquely of the form $h(x) = \sum_{i=1}^n \alpha_i (x) a_i,$

Is a non-euclidean-norm preserving map necessarily linear?

Distance and origin preserving map between two normed vector spaces

Let $Y$ and $Z$ be completions of $X$, then there exists an isometry from $Y$ onto $Z$.

isometry preserves the coefficient of second fundamental form?

Permutation matrix preseves volume of a set in Euclidean space

Are Riemannian manifolds only referred to as diffeomorphic if the diffeomorphism is an isometry?

Prove that the following R linear map is an isometry.

Every finite dimensional normed (real) space is isometrically isomorphic to $\mathbf R^n$

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