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ndltd-NEU--neu-cj82qq35n2021-04-13T05:13:43ZOn the group of almost periodic diffeomorphismsIn this thesis we define and study the main properties of the group of almost periodic diffeomorphisms of R<sup>n</sup>. Using these properties, we then prove that the Camassa-Holm equation and a multi-dimensional version of it are locally well-posed in the space of almost periodic functions. Further, we study the Riemannian exponential map corresponding to a right-invariant (weak) Riemannian metric on the Frechet-Lie group of almost periodic diffeomorphisms $\em Diff^{\infty}{\em ap}(\mathbb{R<sup>n</sup>})$. We prove that the corresponding Riemannian exponential map is a local diffeomorphism onto an open neighborhood of the identity in $\em Diff^{\infty}{\em ap}(\mathbb{R<sup>n</sup>})$.http://hdl.handle.net/2047/D20260858
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NDLTD
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NDLTD
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In this thesis we define and study the main properties of the group of almost periodic diffeomorphisms of R<sup>n</sup>. Using these properties, we then prove that the Camassa-Holm equation and a multi-dimensional version of it are locally well-posed in the space of almost periodic functions. Further, we study the Riemannian exponential map corresponding to a right-invariant (weak) Riemannian metric on the Frechet-Lie group of almost periodic diffeomorphisms $\em Diff^{\infty}{\em ap}(\mathbb{R<sup>n</sup>})$. We prove that the corresponding Riemannian exponential map is a local diffeomorphism onto an open neighborhood of the identity in $\em Diff^{\infty}{\em ap}(\mathbb{R<sup>n</sup>})$.
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On the group of almost periodic diffeomorphisms
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On the group of almost periodic diffeomorphisms
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| title_short |
On the group of almost periodic diffeomorphisms
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| title_full |
On the group of almost periodic diffeomorphisms
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| title_fullStr |
On the group of almost periodic diffeomorphisms
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| title_full_unstemmed |
On the group of almost periodic diffeomorphisms
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| title_sort |
on the group of almost periodic diffeomorphisms
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http://hdl.handle.net/2047/D20260858
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1719395651226173440
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