by Anton Petrunin and Sergio Zamora, with book art by Ana Cristina Chávez Cáliz.
These notes are designed for those who either plan to work in differential geometry, or at least want to have a good reason not to do it.
Please email us comments/corrections/suggestions.
Paper version is available at Amazon; its exact copy can be downloaded at arXiv.
Riemannian geometry
This course is based on the books:
Do Carmo, Manfredo. Riemannian geometry. (1992). Birkhäuser.
Lee, John M. Introduction to Riemannian manifolds. (2018). Vol. 2. Springer