The aim of this book is the study of the pullback equation ?* (g) = f. (1.1) More precisely, we want to find a map ? : Rn ?Rn; preferably we want this map to be a diffeomorphism that satisfies the above equation, where f and g are differential k-forms, 0 = k = n. Most of the time we will require these two forms to be closed.
KeywordsSobolev Space Differential Form Volume Form Exterior Form Exterior Unit
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