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 5 of 5 for “"Spin geometry"”.
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Scalar Curvature Constraints on Symplectic 4-Manifolds
… an unexpected interplaybetween Riemannian geometry and symplectic topology on 4-manifolds. These two branches of mathematics belong to different worlds: Where geometry concerns it- self with distances, angles, areas, curvatures, etc., all of which typically vary from one point on the …
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The Ricci Flow on Spin Manifolds
… first part of this thesis generalizes classical spin geometry to the setting of weighted manifolds (manifolds with density) and provides applications to the Ricci f low. Spectral properties of the naturally associated weighted Dirac operator, introduced by Perelman, and its relationship with the …
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On the parallels between the Maxwell and Dirac equations
… This formulation yields the $8\times8$ spin operator for spin‑1 particles and is capable of reproducing the Klein--Gordon equation (the wave equation for electromagnetic waves). The absence of longitudinal components characterizes the electromagnetic field as a spin‑1 field. Furthermore, …
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A Geometric Model for Real and Complex Differential K-theory
<p>We construct a differential-geometric model for real and complex differential K-theory based on a smooth manifold model for the K-theory spectra defined by Behrens using spaces of Clifford module extensions. After writing representative differential forms for the universal Pontryagin and Chern …
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The evolution equations for Dirac-harmonic Maps
… couple the equation for harmonic maps with spinor fields. At present, many analytical properties of Dirac-harmonic maps are known, but a general existence result is still missing. In this thesis the existence question is studied using the evolution equations for a regularized version of …