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- W3037641192 abstract "This paper shall be concerned with three main results. After a brief recollection of basic symplectic geometry, we prove using Moser's homotopy method a special case of the Strong Darboux Theorem found, for instance, in Theorem 21.1.6 of [Hor]. Next, we'll prove two conservative extension results for a on a circle. One uses Moser's homotopy method but loses a degree of regularity. The other uses the method of generating functions as found in [BCW] and [BGV]. Finally, we'll prove a conservative extension result for a diffeomorphism defined on the boundary of $(0, 1)^2$ and use the techniques developed there and by [M] to prove an ambient Dacarogna-Moser Theorem." @default.
- W3037641192 created "2020-07-02" @default.
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- W3037641192 date "2020-06-25" @default.
- W3037641192 modified "2023-09-27" @default.
- W3037641192 title "Moser's Method and Conservative Extensions of Diffeomorphisms" @default.
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