Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 3 of 3 for “"diffeomorphism group"”.
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Following manifolds in equivariant evolution equations
… system based on equivariance with respect to the diffeomorphism group. Furthermore, phase conditions are created that explicitly use the infinite-dimensional setting. These results are then implemented in numerical algorithms, and the thesis concludes with experiments that demonstrate how powerful …
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A groupoid approach to geometric mechanics
… or incompressible, irrotational or not. By using groupoids we generalize Arnold’s diffeomorphism group framework for fluid flows to show that the well-known equations governing the motion of these various systems can be viewed as geodesic equations (or more generally, Newton’s equations) written …
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Spaces of diffeomorphisms and embeddings via algebraic K-theory
… in Chapter 1, we show that the mapping class group is not an h-cobordism invariant of high-dimensional manifolds by exhibiting h-cobordant manifolds whose mapping class groups have different cardinalities. To do so, we introduce a moduli space of “h-block” bundles and compare it to the moduli …