Question

In $\Bbb R^3$, If tangent map of F preserves inner product, then F is an isometry?

score 63 · Answer 1 · 2018-05-26 16:42:59

63

Views

In $\Bbb R^3$, If tangent map of F preserves inner product, then F is an isometry?

Published on 26 May 2018 - 16:42

score 1.3k · Answer 2 · 2018-05-27 18:06:10

1.3k

Views

Composition of a rotation and a traslation is a rotation

Published on 27 May 2018 - 18:06

score 52 · Answer 3 · 2018-06-02 00:07:11

52

Views

Identification of the ultraproduct of dual space as subset of the dual of ultraproduct.

Published on 02 Jun 2018 - 0:07

score 59 · Answer 4 · 2018-06-04 12:08:27

59

Views

Can we make a suitable choice of y-axis in proving that any translation or rotation is the product of two reflections?

Published on 04 Jun 2018 - 12:08

score 64 · Answer 5 · 2018-06-04 17:41:11

64

Views

If v and w are orthogonal vectors and their images f(v), f(w) are orthogonal there exists an isometry we can build with a scalar $\alpha$

Published on 04 Jun 2018 - 17:41

score 565 · Answer 6 · 2018-06-04 21:49:04

565

Views

Proving that a map is an isometry.

Published on 04 Jun 2018 - 21:49

score 133 · Answer 7 · 2018-06-06 02:06:47

133

Views

Classifying isometries of $\Bbb{E}^n$

Published on 06 Jun 2018 - 2:06

score 848 · Answer 8 · 2018-06-11 17:08:36

848

Views

Isomorphism and Homeomorphism in Normed Spaces

Published on 11 Jun 2018 - 17:08

score 474 · Answer 9 · 2018-06-16 08:26:41

474

Views

How many "elementary" isometries are needed to generate any isometry of an n-dimensional Euclidean space?

Published on 16 Jun 2018 - 8:26

score 772 · Answer 10 · 2018-06-16 09:07:55

772

Views

Are non-bijective isometries necessarily affine functions?

Published on 16 Jun 2018 - 9:07

score 168 · Answer 11 · 2018-06-17 13:55:01

168

Views

Isometrically embed a pentagon into $\mathbb{R}^2$

Published on 17 Jun 2018 - 13:55

score 126 · Answer 12 · 2018-06-17 20:00:33

126

Views

A map that preserves unit distances is an isometry

Published on 17 Jun 2018 - 20:00

score 138 · Answer 13 · 2018-06-19 09:32:24

138

Views

Isometrically embed $K$-gon into $\mathbb{R}^N$

Published on 19 Jun 2018 - 9:32

score 120 · Answer 14 · 2018-06-21 12:00:00

120

Views

Definition of metric and inner product in diff geo and definition of isometry.

Published on 21 Jun 2018 - 12:00

score 412 · Answer 15 · 2018-06-30 21:11:59

412

Views

Given an open subset of a Riemannian manifold, is the group of isometries that extend to a global isometry closed?

Published on 30 Jun 2018 - 21:11

List Question

In $\Bbb R^3$, If tangent map of F preserves inner product, then F is an isometry?

Composition of a rotation and a traslation is a rotation

Identification of the ultraproduct of dual space as subset of the dual of ultraproduct.

Can we make a suitable choice of y-axis in proving that any translation or rotation is the product of two reflections?

If v and w are orthogonal vectors and their images f(v), f(w) are orthogonal there exists an isometry we can build with a scalar $\alpha$

Proving that a map is an isometry.

Classifying isometries of $\Bbb{E}^n$

Isomorphism and Homeomorphism in Normed Spaces

How many "elementary" isometries are needed to generate any isometry of an n-dimensional Euclidean space?

Are non-bijective isometries necessarily affine functions?

Isometrically embed a pentagon into $\mathbb{R}^2$

A map that preserves unit distances is an isometry

Isometrically embed $K$-gon into $\mathbb{R}^N$

Definition of metric and inner product in diff geo and definition of isometry.

Given an open subset of a Riemannian manifold, is the group of isometries that extend to a global isometry closed?

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