Introduction to Riemannian Geometry

Introduction to Riemannian Geometry

I have taught the course Introduction to Riemannian Geometry in spring 24 at the University of Zurich. Here you can find the official website of the course. Here you can find a timetable with all topics that have been covered.

• Lecture: Tuesdays 1pm–3pm (Y27 H12)

• Exercise class: Mondays 8am–10am (Y27 H28)

• Material: M. P. do Carmo, "Riemannian Geometry", Birkhäuser, 1992

• Description of the course: This course offers an introductory exploration of Riemannian Geometry, drawing primarily from do Carmo's celebrated text "Riemannian Geometry". Spanning fundamental concepts and advanced topics, students will delve deep into the study of smooth manifolds, metrics, connections, geodesics, and curvature. The course aims to impart an understanding of the intrinsic nature of surfaces and spaces, paving the way for further studies in differential geometry, general relativity, and manifold-based data analysis. With a blend of theory and application, students will be equipped to appreciate the rich geometry underlying our universe.