Verify the generalized Stokess theorem (Theorem 3.2) for the 3-manifold M={(x, y,z, w)

Chapter 8, Problem 11

(choose chapter or problem)

Verify the generalized Stokess theorem (Theorem 3.2) for the 3-manifold M={(x, y,z, w) R4 | x=8 2y2 2z2 2w2 , x 0} and the 2-form = xy dz dw. (Hint: First compute M . To calculate M d, study Example 3 of this section.)

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