Browsing Theses by Subject "differential geometry"
Now showing items 1-4 of 4
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Born Geometry
(University of Waterloo, 2020-04-21)In this thesis, we summarize the work which we authored or co-authored during our PhD studies and also present additional details and ideas that are not found elsewhere. The main topic is the study of T-duality in theoretical ... -
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 ... -
Differential Operators on Manifolds with G2-Structure
(University of Waterloo, 2020-12-16)In this thesis, we study differential operators on manifolds with torsion-free G2-structure. In particular, we use an identification of the spinor bundle S of such a manifold M with the bundle R ⊕ T*M to reframe statements ... -
Lagrange: A Three-dimensional Analytic Lens Design Method for Spectacles Application
(University of Waterloo, 2014-01-02)Purpose: traditional optical design is a numerical process based on ray tracing theory. The traditional method has the limitation of the application of the spectacle lens because of the necessity of initial configurations ...