Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor & Referee "Jotz Lean, Madeleine Prof. Dr."
Now showing items 1-3 of 3
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Reduction of Lie and Courant Algebroids and Application to Double Vector Bundles
(2024-05-17)In this thesis we evaluate the reduction procedure of Poisson manifolds and apply it to structures closely related to them such as Lie (bi-)algebroids, Courant algebroids and Lie-Rinehart algebras. Moreover, we apply this ... -
Z-graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures
(2021-06-21)The purpose of this thesis is to present a self-standing review of $\mathbb{Z}$- (respectively $\mathbb{N}$-)graded supergeometry with emphasis in the development and study of two particular structures therein. Namely, ... -
Shape space in terms of Wasserstein geometry and application to quantum physics
(2018-11-26)This thesis offers a mathematical framework to treat quantum dynamics without reference to a background structure, but rather by means of the change of the shape of the state. For this, Wasserstein geometry is used. The ...