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Substantiivi

1. (differential geometry) For a surface with parametrization ${\displaystyle {\vec {x}}(u,v)}$, and letting ${\displaystyle i,j,k\in \{u,v\}}$, the Christoffel symbol ${\displaystyle \Gamma _{ij}^{k}}$ is the component of the second derivative ${\displaystyle {\vec {x}}_{ij}}$ in the direction of the first derivative ${\displaystyle {\vec {x}}_{k}}$, and it encodes information about the surface's curvature. Thus,