Clayton Shonkwiler

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