Riemannian Geometry

"Riemannian Geometry" is a seminal treatise on the mathematical foundations of differential geometry and the study of curved spaces. Authored by the distinguished mathematician Luther Pfahler Eisenhart, this work provides a rigorous and systematic exposition of the principles that underlie modern geometric theory. The text explores the intricate relationships between metric properties, coordinate systems, and the curvature of manifolds, offering a comprehensive framework for understanding n...