Table of Contents:
  • Manifolds
  • Lie groups
  • Fibre bundles
  • Differential forms
  • Connexions
  • Affine connexions
  • Riemannian manifolds
  • Geodisc and complete Riemannian manifolds
  • Riemannian curvature
  • Immersions and the second fundamental form
  • Second variation of arc length
  • Includes bibliographical references (pages 260-263)