Welcome to Mat4590!

We will use the book  Riemannian Geometry,  by Manfredo Do Carmo, and the plan is to go through most of chapters 1-9 and chapter 12.  The subject uses some of the language and concepts from the theory of differential manifolds, but it suffices to take MAT4520 at the same time. Much of this is also a straightforward generalization of theory from MAT4510 - Geometric structures.