Christoffel symbol
（ plural ）
Quizzes for review
(differential geometry) For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol 𝛤ᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,
Christoffel symbol
For a surface parametrized by x(u,v), and with i, j, k ∈ {u, v}, the Christoffel symbol Γk_{ij} is the component of the second derivative x_ij in the direction of the first derivative x_k, and it encodes information about the surface's curvature.
For a surface parametrized by x(u,v), and with i, j, k ∈ {u, v}, the Christoffel symbol Γk_{ij} is the component of the second derivative x_ij in the direction of the first derivative x_k, and it encodes information about the surface's curvature.
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