Contents

pp vii-viii

INTRODUCTION

pp 1-3

PART I - THE UNCONNECTED MANIFOLD

Chap. I - Invariance; Vectors and Tensors

pp 4-13

Chap. II - Integrals. Densities. Derivatives

pp 14-26

PART II - AFFINELY CONNECTED MANIFOLD

Chap. III - Invariant Derivatives

pp 27-33

Chap. IV - Some Relations between Ordinary and Invariant Derivatives

pp 34-38

Chap. V - The Notion of Parallel Transfer

pp 39-42

Chap. VI - The Curvature Tensor

pp 43-52

Chap. VII - The Geodesies of an Affine Connexion

pp 53-55

Chap. VIII - The General Geometrical Hypothesis about Gravitation

pp 56-62

PART III - METRICALLY CONNECTED MANIFOLD

Chap. IX - Metrical Affinities

pp 63-73

Chap. X - The Meaning of the Metric According to the Special Theory of Relativity

pp 74-86

Chap. XI - Conservation Laws and Variational Principles

pp 87-105

Chap. XII - Generalizations of Einstein's Theory

pp 106-119