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单词 curvature tensor
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curvature tensor
curvature tensor n. Mathematics any of several tensors used to describe the curvature (sense 3b) of a space or manifold; esp. the Riemann–Christoffel tensor.
ΚΠ
1921 Amer. Jrnl. Math. 43 213 The curvature-tensor (Riemann-Christoffel-Tensor)..can be written in the form: Bρμνσ = 1/ n − 2 (gρνLμσgμνLρσgρσLμν + gμσLρν).
1970 Ann. Math. 91 312 R will denote the curvature tensor determined by g, and K, the corresponding sectional curvature.
2014 P. Renteln Manifolds, Tensors & Forms viii. 206 From the Riemann curvature tensor we can construct various other curvature tensors by contraction.
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