Abstract
Using a local lemma, we show that the d-th de Rham group of an oriented, compact, connected d-dimensional manifold is canonically isomorphic to R (7.2.1). From this fundamental fact we deduce Moser’s theorem, which says that two volume forms whose integral is the same are conjugate under a diffeomorphism.
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© 1988 Springer Science+Business Media New York
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Berger, M., Gostiaux, B. (1988). Degree Theory. In: Differential Geometry: Manifolds, Curves, and Surfaces. Graduate Texts in Mathematics, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1033-7_8
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DOI: https://doi.org/10.1007/978-1-4612-1033-7_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6992-2
Online ISBN: 978-1-4612-1033-7
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