Browsing Mathematics (Faculty of) by Supervisor "Charbonneau, Benoit"
Now showing items 1-3 of 3
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Deformation theory of nearly G₂-structures and nearly G₂ instantons
(University of Waterloo, 2021-08-30)We study two different deformation theory problems on manifolds with a nearly G₂-structure. The first involves studying the deformation theory of nearly G₂ manifolds. These are seven dimensional manifolds admitting real ... -
Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations
(University of Waterloo, 2018-08-09)The study of finite element methods for the numerical solution of differential equations is one of the gems of modern mathematics, boasting rigorous analytical foundations as well as unambiguously useful scientific ... -
Integrality theorems for symmetric instantons
(University of Waterloo, 2022-08-05)Anti-self-dual (ASD) instantons on R4 are connections A on SU(N)-vector bundles with finite L2-norm and curvature satisfying the ASD equation. Solutions to this non-linear partial differential equation correspond to certain ...