Riemannian Geometry

THE recent physical interpretation of intrinsic differential geometry of spaces has stimulated the study of this subject. Riemann proposed the generalisation, to spaces of any order, of Gauss's theory of surfaces, and introduced certain fundamental ideas in this general theory. Bianchi, Beltrami, and others made substantial contributions to the subject, which was extended by Ricci with the use of tensor analysis and his absolute calculus. Recently there has been an extensive study and development of Riemannian geometry, and the book before us aims at presenting the existing theory.Riemannian Geometry.By Prof. L. P. Eisenhart. Pp. vii + 262. (Princeton: Princeton University Press; London: Oxford University Press, 1926.) 13s. 6d. net.