Cotton tensor on a (pseudo)-Riemannian manifold of dimension n is a third-order tensor concomitant of the metric. The vanishing of the Cotton tensor for...
6 KB (1,003 words) - 08:44, 28 November 2024
Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann...
10 KB (1,742 words) - 18:26, 17 March 2025
_{iq}^{p}\Gamma _{jr}^{q}\Gamma _{kp}^{r}{\biggr )}.} This variation gives the Cotton tensor = − 1 2 g ( ε m i j D i R j n + ε n i j D i R j m ) . {\displaystyle...
27 KB (3,591 words) - 12:48, 25 May 2025
P_{ab}={\frac {1}{n-2}}\left(R_{ab}-{\frac {R}{2(n-1)}}g_{ab}\right).} Cotton tensor Obstruction tensor Rudolf Bach, "Zur Weylschen Relativitätstheorie und der Weylschen...
2 KB (320 words) - 14:09, 19 July 2022
conformally flat if and only if its Weyl tensor vanishes; in dimension n = 3, if and only if the Cotton tensor vanishes. Conformal geometry has a number...
21 KB (3,359 words) - 11:22, 10 January 2025
In Riemannian geometry the Schouten tensor is a second-order tensor introduced by Jan Arnoldus Schouten defined for n ≥ 3 by: P = 1 n − 2 ( R i c − R...
2 KB (412 words) - 00:29, 2 June 2025
causal structure. It is related to topologically massive gravity and the Cotton tensor. It is a possible UV completion of general relativity. Also, the speed...
5 KB (593 words) - 20:28, 21 April 2025
the Cotton tensor. He held the professorship from 1904 until his 1942 retirement. He was awarded the Legion of Honor. His brother was Aimé Cotton; their...
2 KB (136 words) - 17:19, 24 March 2025
The Lanczos tensor or Lanczos potential is a rank 3 tensor in general relativity that generates the Weyl tensor. It was first introduced by Cornelius...
12 KB (1,924 words) - 19:16, 18 February 2024
Cotton (1872–1950), French mathematician, discoverer of the Cotton tensor F. Albert Cotton (1930–2007), American inorganic chemist Sir Robert Cotton,...
5 KB (607 words) - 14:04, 18 April 2025
if and only if its Cotton tensor vanishes. In dimensions > 3, a metric is locally conformally flat if and only if its Weyl tensor vanishes. In 1822, Carl...
15 KB (1,918 words) - 19:15, 5 March 2024
Ricci decomposition (redirect from Decomposition of the Riemann curvature tensor)
_{W}Y-\nabla _{[W,X]}Y,Z{\Big )}.} With this convention, the Ricci tensor is a (0,2)-tensor field defined by Rjk=gilRijkl and the scalar curvature is defined...
10 KB (2,269 words) - 12:15, 29 December 2023
Thomas Bryant Cotton (born May 13, 1977) is an American politician and Army veteran serving since 2015 as the junior United States senator from Arkansas...
178 KB (14,762 words) - 17:25, 15 June 2025
only if the Cotton tensor vanishes. An n-dimensional pseudo-Riemannian manifold for n ≥ 4 is conformally flat if and only if the Weyl tensor vanishes. Every...
5 KB (885 words) - 08:37, 19 February 2024
the local twistor connection involves both the Weyl curvature and the Cotton tensor. (It is the Cartan conformal curvature.) The curvature preserves the...
4 KB (666 words) - 10:47, 26 July 2022
principle Cosmology Cosmos Cosmotron Coster–Kronig transition Cotton effect Cotton tensor Cotton–Mouton effect Cottrell atmosphere Couette flow Coulomb Coulomb's...
28 KB (2,788 words) - 18:26, 23 February 2025
James Henry Cotton (July 1, 1935 – March 16, 2017) was an American blues harmonica player, singer and songwriter, who performed and recorded with many...
18 KB (1,869 words) - 19:35, 9 June 2025
Darryl Grant Cotton (4 September 1949 – 27 July 2012) was an Australian pop, rock singer-songwriter, television presenter and actor. He was a founding...
30 KB (2,395 words) - 21:09, 8 July 2024
Elastic bandage (redirect from Tensor bandage)
elastic bandage is constructed from cotton, polyester and latex-free elastic yarns. By varying the ratio of cotton, polyester, and the elastic yarns within...
3 KB (450 words) - 19:50, 10 April 2024
Dorothy Cotton (June 9, 1930 – June 10, 2018) was an American civil rights activist, who was a leader in the Civil Rights Movement in the United States...
16 KB (1,910 words) - 02:42, 11 June 2025
Arkansas Senator Tom Cotton called for "an overwhelming show of force to end the riots" in an op-ed in The Wall Street Journal. Both Cotton and Florida Senator...
171 KB (16,100 words) - 00:25, 18 June 2025
implements the computation of the Riemann curvature tensor and associated objects (Ricci tensor, Weyl tensor). SageManifolds can also deal with generic affine...
13 KB (245 words) - 03:36, 3 June 2025
age of six. Later, she acted in the movies Streets of Fire (1984) and The Cotton Club (1984). Lane returned to acting to appear in The Big Town, Lady Beware...
55 KB (5,175 words) - 01:33, 3 June 2025
Transliteration: "Tsuru no Ongaeshi" (Japanese: 鶴の恩返し) "The Monster in the Cotton Hat" Transliteration: "Wataboushi no yōkai" (Japanese: 綿帽子の妖怪) A field worker...
231 KB (436 words) - 21:44, 15 June 2025
List of EastEnders characters introduced in 2014 (redirect from Yvonne Cotton)
Willis), followed by Tosh Mackintosh (Rebecca Scroggs). On 10 March, Charlie Cotton (Declan Bennett) and on 4 April, Lee Carter (Danny Hatchard). Donna Yates...
213 KB (22,015 words) - 00:50, 15 June 2025
List of EastEnders characters introduced in 2023 (redirect from Jo Cotton)
Cassidy), also first appear in January. Jo Cotton (Vicki Michelle), the estranged wife of Tom "Rocky" Cotton (Brian Conley), and guest characters Shiv...
188 KB (11,867 words) - 10:23, 15 June 2025
between D and E must now be described using a tensor equation: where ε is now a 3 × 3 permittivity tensor. We assume linearity and no magnetic permeability...
60 KB (6,595 words) - 19:25, 24 May 2025
of Russian, Kashgarian, Kipchak, Bukharan Jewish and Romani minorities. Cotton cultivation, initiated by the Soviets, is complemented by a diverse array...
51 KB (6,079 words) - 11:48, 26 May 2025
G-suit (section Cotton Aerodynamic Anti-G Flying Suit)
G-suit derived from the work of Cotton and Franks. This suit used inflation like the Cotton suit. While Professor Cotton's design was intriguing, he was...
21 KB (2,680 words) - 19:49, 9 March 2025
games including a semifinal; Foxborough Stadium, Stanford Stadium, and the Cotton Bowl hosted six games each, and Soldier Field, Robert F. Kennedy Memorial...
120 KB (9,907 words) - 01:29, 18 June 2025