RIEMANNIAN GEOMETRY MAIN TOPICS Riemannian manifolds. Riemann curvature. Geodesics. Hodge theory on Riemannian manifolds. Riemannian holonomy groups. The Cheeger-Gromoll splitting theorem. LECTURE NOTES Riemannian Geometry, written by D. Chua, based on lectures by A. G. Kovalev, 2017, University of Cambridge. EXERCISES AND EXAMS With SolutionsWithout SolutionsRiemannian Geometry, by A. G. Kovalev, 2017, University of Cambridge. VIDEO LECTURES FREE TEXTBOOKS BIBLIOGRAPHY PROBLEM BOOKS