Minicourse on Differential Geometry and Grassmannians
Lecture Notes
Some books I recommend
- Foundations of Differentiable Manifolds and Lie Groups, by Frank W. Warner
- Calculus on Manifolds and A Comprehensive Introduction to Differential Geometry, by Michael Spivak
- Riemannian Geometry, by Manfredo do Carmo
- Notes on Differential Geometry and Lie Groups, by Jean Gallier
- Differential Topology, by Victor Guillemin and Alan Pollack
- Differential Geometry, Lie Groups and Symmetric Spaces, by Sigurdur Helgason