Riemannian Geometry

Аннотация

The recent physical interpretation of intrinsic differentia] geometry of spaces has stimulated the study of this subject Riemann proposed the generalization, to spaces of any order, of the theory of surfaces, as developed by Gauss, and introduced certain fundamental ideas in this general theory. From time to time important contributions to the theory were made by Bianchi, Beltrami, Christoffel, • Schur, Voss and others, and Ricci coordinated and extended the theory with the use of tensor analysis and his Absolute Calculus. Recently there has been an extensive study and development of Riemannian Geometry, and this book aims to present the existing theory.