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Marcel Mäki: An Introduction to Differential Forms and Manifolds

Bachelor thesis

Time: Wed 2023-10-25 08.30 - 09.30

Location: Albano, Mittag-Leffler Room

Respondent: Marcel Mäki

Supervisor: Salvador Rodriguez Lopez

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Abstract.

This thesis aims to introduce the concepts of Manifolds and Differential Forms defined on Manifolds. These concepts serve as prerequisites for demonstrating a general result. Namely, the Generalized Stokes’ Theorem, for which we will provide a proof. We shall also show how two theorems from Vector Calculus can be seen as special cases of this Generalized Theorem.