Christoffel symbol in Bulgarian

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