Riemannian Manifolds
An Introduction to Curvature
Ranked #64 in Differential Geometry, Ranked #88 in Geometry
This text is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced study of Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the curvature tensor as a way of measuring whether a Riemannian manifold is locally equivalent to Euclidean space. Submanifold theory is developed next in order to give... more
Similar Books
If you like Riemannian Manifolds, check out these similar top-rated books:
