Question

Creating an (linear) interpolant of points on the surface of d-dimensional hyper-sphere.

score 26 · Answer 1 · 2023-07-15 10:45:58

26

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Creating an (linear) interpolant of points on the surface of d-dimensional hyper-sphere.

Published on 15 Jul 2023 - 10:45

score 19 · Answer 2 · 2023-07-26 20:26:45

19

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Given two points $P,Q$, and a hyperbolic line $l = C\cap \mathbb{H}^2$. How to find another hyperbolic line $m$ such that $\Omega_m\Omega_l(P)=Q$

Published on 26 Jul 2023 - 20:26

score 47 · Answer 3 · 2023-07-29 19:01:12

47

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How to define addition law in hyperboloid model(lorentz space) of hyperbolic space

Published on 29 Jul 2023 - 19:01

score 51 · Answer 4 · 2026-02-23 04:55:01

51

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Correspondence between Euclidean and non-Euclidean geometries

Published on 23 Feb 2026 - 4:55

score 42 · Answer 5 · 2023-08-29 05:59:36

42

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Find equation for surface area of ellipse projected on a sphere

Published on 29 Aug 2023 - 5:59

score 63 · Answer 6 · 2023-09-01 06:20:30

63

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spherical and hyperbolic triangle definitions with geodesics

Published on 01 Sep 2023 - 6:20

score 78 · Answer 7 · 2023-09-18 20:52:27

78

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How does Euclid's Fifth postulate not hold here?

Published on 18 Sep 2023 - 20:52

score 51 · Answer 8 · 2023-10-08 11:22:43

51

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Prove the following statement in Mobius geometry

Published on 08 Oct 2023 - 11:22

score 75 · Answer 9 · 2026-02-23 18:40:46

75

Views

Axiomatizing higher-dimensional geometries

Published on 23 Feb 2026 - 18:40

score 89 · Answer 10 · 2023-11-26 19:03:26

89

Views

How can I get the appropriate coordinates to display 3D-hyperbolic space in the Beltrami Klein model?

Published on 26 Nov 2023 - 19:03

score 20 · Answer 11 · 2023-12-17 07:01:44

20

Views

Is there a name for geometries that can be approximated as Euclidean over infinitesimal scales?

Published on 17 Dec 2023 - 7:01

score 45 · Answer 12 · 2026-02-23 08:26:50

45

Views

Smoothness of the Fréchet Function on Riemannian Manifolds

Published on 23 Feb 2026 - 8:26

score 19 · Answer 13 · 2024-03-04 20:24:36

19

Views

What are All the Reflections in Minkowski Space $\mathbb{R}^{1,n}$?

Published on 04 Mar 2024 - 20:24

score 3.6k · Answer 14 · 2015-01-23 13:00:36

3.6k

Views

Why Do The Axioms of Euclidean Geometry Not Need To Include the Definition of Space?

Published on 23 Jan 2015 - 13:00

score 2k · Answer 15 · 2015-02-15 02:53:18

2k

Views

Why must there be an infinite number of lines in an absolute geometry?

Published on 15 Feb 2015 - 2:53

List Question

Creating an (linear) interpolant of points on the surface of d-dimensional hyper-sphere.

Given two points $P,Q$, and a hyperbolic line $l = C\cap \mathbb{H}^2$. How to find another hyperbolic line $m$ such that $\Omega_m\Omega_l(P)=Q$

How to define addition law in hyperboloid model(lorentz space) of hyperbolic space

Correspondence between Euclidean and non-Euclidean geometries

Find equation for surface area of ellipse projected on a sphere

spherical and hyperbolic triangle definitions with geodesics

How does Euclid's Fifth postulate not hold here?

Prove the following statement in Mobius geometry

Axiomatizing higher-dimensional geometries

How can I get the appropriate coordinates to display 3D-hyperbolic space in the Beltrami Klein model?

Is there a name for geometries that can be approximated as Euclidean over infinitesimal scales?

Smoothness of the Fréchet Function on Riemannian Manifolds

What are All the Reflections in Minkowski Space $\mathbb{R}^{1,n}$?

Why Do The Axioms of Euclidean Geometry Not Need To Include the Definition of Space?

Why must there be an infinite number of lines in an absolute geometry?

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