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- Krein spaces – a quantum-theoretical monad method 2026/05/12
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- Minkowski patches in the Einstein universe 2025/11/27
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- Comments on Clifford algebras 2019/01/24
- Comment on “Could ordinary quantum mechanics be just fine for all practical purposes?” by Alexey Nikulov 2018/03/08
- Spinning Top – Space Odity 2017/05/28
- Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws 2017/05/26
- Geodesics of left invariant metrics on matrix Lie groups – Part 1 2017/05/24
- Killing vectors, geodesics, and Noether’s theorem 2017/05/23
- SL2R as anti de Sitter space cont. 2017/05/15
- Becoming anti de Sitter 2017/05/14
- SL(2,R) Killing vector fields in coordinates 2017/05/11
- Riemannian metrics – left, right and bi-invariant 2017/05/09
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Category Archives: Hyperbolic geometry
Parametrization of SL(2,R)
We are going to discuss Riemannian metric on SL(2,R), which will be more difficult than Riemannian metric on the Poincare disk or on the upper half-plane , because SL(2,R) is three-dimensional. In fact it will be a pseudo-Riemannian metric, because … Continue reading
Posted in Hyperbolic geometry, SU(1,1)
1 Comment
Curvature of the upper half-plane
In Geodesics on upper half-plane factory direct we used the Christoffel symbols and identified geodesics on the upper half plane endowed with the hyperbolic geometry metric. The formulas for Christoffel symbols contain derivatives of the metric tensor components: (1) … Continue reading
Posted in Hyperbolic geometry, Mathematica
2 Comments
Einstein the Stubborn
Before developing his 1915 General Theory of Relativity, Einstein held the “Entwurf” theory. Tullio Levi-Civita from Padua, one of the founders of tensor calculus, objected to a major problematic element in this theory, which reflected its global problem: its field … Continue reading
Posted in Hyperbolic geometry, Mathematica
1 Comment
