Parameter dependent pull-back of closed differential forms and invariant integrals
(2005) Topological Methods in Nonlinear Analysis — Vol. 26, n° 1, p. 17-33 (2005)
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- Abstract
- We prove, given a closed differential omega-form to in an arbitrary open set D subset of R-n, and a parameter dependent smooth map F((.),lambda) from an arbitrary open set G subset of R-m into D, that the derivative with respect to lambda of the pull-back F((.),lambda)* omega is exact in G. We give applications to various theorems in topology, dynamics and hydrodynamics.
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Mawhin, J. (2005). Parameter dependent pull-back of closed differential forms and invariant integrals. Topological Methods in Nonlinear Analysis, 26(1), 17-33. https://hdl.handle.net/2078.5/44804 (Original work published 2005)