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...

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...

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...

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...

_{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...

introduction of the Cotton tensor. He held the professorship from 1904 until his 1942 retirement. He was the brother of Aimé Cotton. Cotton, É. (1899). "Sur...

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...

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...

Cotton (1872–1950), French mathematician, discoverer of the Cotton tensor F. Albert Cotton (1930–2007), American inorganic chemist Sir Robert Cotton,...

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...