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.
Results
Showing 1 to 4 of 4 for “"diffeomorphism group"”.
-
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 …
-
Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds
… We prove a homological stability theorem for the diffeomorphism groups of (4n+1)-dimensional manifolds, with respect to forming the connected sum with (2n-1)-connected, (4n+1)-dimensional manifolds that are stably parallelizable. Our techniques involve the study of the action of the diffeomorphism …
-
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 …
-
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 …