Consider the parametrized 3-manifold X: [0, 1] [0, 1] [0, 1] R4, X(u1, u2, u3) = (u1
Chapter 8, Problem 15(choose chapter or problem)
Consider the parametrized 3-manifold X: [0, 1] [0, 1] [0, 1] R4, X(u1, u2, u3) = (u1, u2, u3, (2u1 u3) 2 ). Find X x2 dx2 dx3 dx4 + 2x1x3 dx1 dx2 dx3.
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