Wintersemester 2017/2018

Global Analysis I


This course will cover a review of manifolds,vector bundles, vector fields, differential forms, Stokes Theorem and related results (divergence theorem, Gauss’ theorem). We will cover the basic notions of Riemannian geometry, such as metrics on vector bundles, connections and geodesics. Distance and curvature on a Riemannian manifold, submanifolds, the second fundamental form. We will then discuss the Gauss--Bonnett theorem and the relation between curvature and topology. Content sheet


Exercise tutorials

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Summary of lectures (downloadable pdfs)

Assignments (downloadable pdfs)