Question: Let S be a regular surface with parametrization X = } (u, v), associated metric I = 7a (du? + dv) on U = {(u,

 Let S be a regular surface with parametrization X = }

Let S be a regular surface with parametrization X = } (u, v), associated metric I = 7a (du? + dv) on U = {(u, v) | u>0} R. a) Evaluate Christoffel functions b) Evaluate the Gauss curvature c) Can this surface have second fundamental from as II = 1; (du? + dva) ? Give reasons for your answer Let S be a regular surface with parametrization X = } (u, v), associated metric I = 7a (du? + dv) on U = {(u, v) | u>0} R. a) Evaluate Christoffel functions b) Evaluate the Gauss curvature c) Can this surface have second fundamental from as II = 1; (du? + dva) ? Give reasons for your

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