Instructor:  Dr. Balázs CSIKÓS

Text: :  M. P. do Carmo, Riemannian Geometry, Birkhäuser, 1993.
J. M. Lee, Riemannian Manifolds: An Introduction to Curvature, Springer, 1997

Prerequisites: Calculus on differentiable manifolds

Course Description: Riemannian geometry is a higher dimensional generalization of the intrinsic geometry of surfaces. The course introduces basic notions and theorems of Riemannian geometry. By the end of the course, students will learn how to handle the most important techniques of Riemannian geometry that will enable them to follow contemporary research and start their own research in the area of Riemannian geometry.