Question

How to define a Riemannian metric in the projective space such that the quotient projection is a local isometry?

score 5k · Answer 1 · 2012-04-21 15:38:11

5k

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How to define a Riemannian metric in the projective space such that the quotient projection is a local isometry?

Published on 21 Apr 2012 - 15:38

score 37.3k · Answer 2 · 2026-03-26 12:04:57

37.3k

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Difference between orthogonal and orthonormal matrices

Published on 26 Mar 2026 - 12:04

score 182 · Answer 3 · 2026-03-27 12:02:50

182

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Questions about the reflection operator on an inner product space

Published on 27 Mar 2026 - 12:02

score 74 · Answer 4 · 2026-03-29 14:07:09

74

Views

Discrete Abelian subgroups of Euclidean isometries

Published on 29 Mar 2026 - 14:07

score 41 · Answer 5 · 2020-08-15 15:43:08

41

Views

Embedding of $\sqrt{|i-j|}$ distance into $(\mathbb{R}^n,\lVert \cdot\rVert_2)$

Published on 15 Aug 2020 - 15:43

score 96 · Answer 6 · 2020-08-16 20:06:15

96

Views

generalization of isometry

Published on 16 Aug 2020 - 20:06

score 159 · Answer 7 · 2020-08-24 16:50:14

159

Views

The isometries are embedding locally lipschitz

Published on 24 Aug 2020 - 16:50

score 163 · Answer 8 · 2026-03-29 11:02:40

163

Views

Is every isometric immersion between surfaces of equal area injective?

Published on 29 Mar 2026 - 11:02

score 155 · Answer 9 · 2020-09-03 02:11:37

155

Views

Mapping an element of the euclidean group to an isometry of a horosphere in the hyperboloid model

Published on 03 Sep 2020 - 2:11

score 42 · Answer 10 · 2020-09-13 04:48:58

42

Views

Do strongly equivalent metrics have same isometry groups?

Published on 13 Sep 2020 - 4:48

score 151 · Answer 11 · 2020-09-13 11:33:24

151

Views

Isometry preserves sequential compactness?

Published on 13 Sep 2020 - 11:33

score 119 · Answer 12 · 2020-09-14 07:24:42

119

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Prove $f$ is a isometry

Published on 14 Sep 2020 - 7:24

score 36 · Answer 13 · 2020-09-21 18:05:07

36

Views

When are two (geometric) symmetries counted as one?

Published on 21 Sep 2020 - 18:05

score 249 · Answer 14 · 2020-09-26 01:35:24

249

Views

Possible symmetry groups of a tetrahedron

Published on 26 Sep 2020 - 1:35

score 90 · Answer 15 · 2020-09-27 16:05:10

90

Views

Characterization of isometries on Riemannian manifolds of positive (non-negative) curvature analogous to Bishop-O'Neill theorem

Published on 27 Sep 2020 - 16:05

List Question

How to define a Riemannian metric in the projective space such that the quotient projection is a local isometry?

Difference between orthogonal and orthonormal matrices

Questions about the reflection operator on an inner product space

Discrete Abelian subgroups of Euclidean isometries

Embedding of $\sqrt{|i-j|}$ distance into $(\mathbb{R}^n,\lVert \cdot\rVert_2)$

generalization of isometry

The isometries are embedding locally lipschitz

Is every isometric immersion between surfaces of equal area injective?

Mapping an element of the euclidean group to an isometry of a horosphere in the hyperboloid model

Do strongly equivalent metrics have same isometry groups?

Isometry preserves sequential compactness?

Prove $f$ is a isometry

When are two (geometric) symmetries counted as one?

Possible symmetry groups of a tetrahedron

Characterization of isometries on Riemannian manifolds of positive (non-negative) curvature analogous to Bishop-O'Neill theorem

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