Title of the course: Introduction to Riemannian Geometry and Some Applications
Instructor: Asst. Prof. Özgür Kelekçi
Institution: Türk Hava Kurumu Üniversitesi
Dates: 16-22 September 2024
Prerequisites: Basic Differential Geometry (not a must but preferable)
Level: Graduate, advanced undergraduate
Abstract: In this lecture, we’ll begin by introducing fundamental concepts in Riemannian geometry such as differentiable manifolds, Riemannian metrics, connection, curvature etc.  We’ll then focus on some applications such as Laplace operator and spectral theory.
Language: EN
Textbook:
1. W. Kühnel, Differential geometry: curves, surfaces, manifolds, 3 rd edition AMS (2015).
2. P. Petersen, Riemannian geometry 2nd edition Springer (2006)
3. Gallot S., Hulin D., and Lafontaine J., Riemannian geometry 3rd edition, Universitext, Springer-Verlag, Berlin (2004)