Covariant Derivatives
These slides were written by Jesse Benavides and John Simanyi, who were students in my Riemannian geometry class in the winter of 2014.
Covariant Derivatives---Examples via Submanifolds
(Note: It is best to download and view this file in Adobe. It does not function as intended in web browsers.)
Jesse Benavides is also one of my current graduate students.