4. Let r E N, m > n = 2r + 2, V be a star-shaped open...
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4. Let r E N, m > n = 2r + 2, V be a star-shaped open set in Rm, and M be a compact n-dimensional C2 manifold-with-smooth-boundary in Rm. If MeV and w is an exact C1 r + I-form on V with w = dry, prove that
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