Riemannian Geometry, Manfredo Perdigao Do Carmo (Required text),
A Comprehensive Introduction to Differential Geometry, Michael Spivak,
Metric Spaces of Non-Positive Curvature, Martin R. Bridson and André Haefliger,
Foundations of Differentiable Manifolds and Lie Groups, Frank Warner.
corrected sectional curvature of SO(3) (lecture 14, p.65),
corrected solution to Ricci flow on Einstein manifold (lecture 15, p.67).