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There is a page named "Ricci-flat" on Wikipedia
- field of differential geometry, Ricci-flatness is a condition on the curvature of a Riemannian manifold. Ricci-flat manifolds are a special kind of Einstein...15 KB (1,867 words) - 17:23, 25 March 2024
space, is a particular type of manifold which has properties, such as Ricci flatness, yielding applications in theoretical physics. Particularly in superstring...24 KB (3,212 words) - 14:57, 9 August 2024- In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...34 KB (5,859 words) - 04:51, 6 July 2024
geometric analysis, the Ricci flow (/ˈriːtʃi/ REE-chee, Italian: [ˈrittʃi]), sometimes also referred to as Hamilton's Ricci flow, is a certain partial...52 KB (7,772 words) - 15:22, 15 August 2024- Scalar curvature (redirect from Ricci curvature scalar)mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each...35 KB (5,029 words) - 23:36, 30 May 2024
- some constant k, where Ric denotes the Ricci tensor of g. Einstein manifolds with k = 0 are called Ricci-flat manifolds. In local coordinates the condition...6 KB (830 words) - 15:05, 21 March 2024
constructed all the parallel forms and showed that those manifolds were Ricci-flat. Berger's original list also included the possibility of Spin(9) as a...41 KB (5,870 words) - 20:52, 23 April 2024- generally, the Weyl curvature is the only component of curvature for Ricci-flat manifolds and always governs the characteristics of the field equations...10 KB (1,742 words) - 17:55, 29 January 2024
early Jesuit missionary to China, Matteo Ricci, recorded that the Ming-dynasty Chinese say: "The Earth is flat and square, and the sky is a round canopy;...76 KB (8,802 words) - 17:27, 13 August 2024
results, Chung and Yau introduced a notion of Ricci-flatness of a graph. A more flexible notion of Ricci curvature, dealing with Markov chains on metric...116 KB (10,419 words) - 13:15, 27 July 2024- solution. Manifolds with a vanishing Ricci tensor, Rμν = 0, are referred to as Ricci-flat manifolds and manifolds with a Ricci tensor proportional to the metric...34 KB (5,098 words) - 08:50, 29 July 2024
- particular, it is a hypercomplex manifold. All hyperkähler manifolds are Ricci-flat and are thus Calabi–Yau manifolds. Hyperkähler manifolds were defined...13 KB (1,641 words) - 00:44, 7 November 2023
- sphere Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold...4 KB (287 words) - 19:11, 15 September 2022
- Kaluza–Klein theory Compactification Why 10 dimensions? Kähler manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold...8 KB (1,019 words) - 04:47, 7 July 2024
- manifold whose holonomy group is contained in Spin(7). Spin(7)-manifolds are Ricci-flat and admit a parallel spinor. They also admit a parallel 4-form, known...3 KB (350 words) - 10:26, 28 April 2024
- class vanishes, this implies that each Kähler class contains exactly one Ricci-flat metric. These are often called Calabi–Yau manifolds. However, the term...11 KB (1,557 words) - 00:27, 13 June 2024
- Kaluza–Klein theory Compactification Why 10 dimensions? Kähler manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold...5 KB (667 words) - 08:22, 26 September 2023
- Kaluza–Klein theory Compactification Why 10 dimensions? Kähler manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold...19 KB (2,042 words) - 09:56, 21 August 2024
- submanifolds. All G 2 {\displaystyle G_{2}} -manifold are 7-dimensional, Ricci-flat, orientable spin manifolds. In addition, any compact manifold with holonomy...8 KB (938 words) - 05:28, 14 August 2024
- it cannot be Kähler. A Calabi–Yau manifold can be defined as a compact Ricci-flat Kähler manifold or equivalently one whose first Chern class vanishes....10 KB (1,306 words) - 04:22, 4 June 2024
- Perspective1922Herbert Allen Giles UNDER the Ming dynasty there was Li Ma-tou (Matteo Ricci), a native of Europe, who, being able to speak Chinese, came to the southern
- the N = 1 supersymmetry constraint results in a modification of the Ricci-flat equation of the earlier model. Shing-Tung Yau: (2008). "A survey of Calabi-Yau
- {\displaystyle R_{\mu \nu }} is the Ricci curvature tensor R {\displaystyle R} is the Ricci scalar (the tensor contraction of the Ricci tensor) g μ ν {\displaystyle