Cotton tensor
rank-3 tensor defined for a 3d (pseudo-)Riemannian manifold which measures the degree to which it fails to be conformally flat
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Cotton tensor
Summary
Cotton tensor ranks in the top 2% of general entities by monthly Wikipedia readership (27 views/month).[1]
Key Facts
- Émile Cotton is named after Cotton tensor[2].
- Cotton tensor's subclass of is recorded as tensor field[3].
- Cotton tensor's Freebase ID is recorded as /m/043nws[4].
- Cotton tensor's defining formula is recorded as C_{ijk}=\nabla_kR_{ij}-\nabla jR{ik}+\frac1{2(n-1)}\left(\nabla jRg{ik}-\nabla_kRg_{ij}\right)[5].
- Cotton tensor's maintained by WikiProject is recorded as WikiProject Mathematics[6].
- Cotton tensor's Microsoft Academic ID is recorded as 2781134304[7].
- Cotton tensor's in defining formula is recorded as C_{ijk}[8].
- Cotton tensor's in defining formula is recorded as \nabla[9].
- Cotton tensor's in defining formula is recorded as R_{ij}[10].
- Cotton tensor's in defining formula is recorded as g_{ij}[11].
- Cotton tensor's in defining formula is recorded as n[12].
- Cotton tensor's Encyclopedia of China is recorded as 299289[13].
Why It Matters
Cotton tensor ranks in the top 2% of general entities by monthly Wikipedia readership (27 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[14]