Book contents
- Frontmatter
- Contents
- Preface
- Notation
- Part I Special Relativity
- Part II Riemannian geometry
- 14 Introduction: The force-free motion of particles in Newtonian mechanics
- 15 Why Riemannian geometry?
- 16 Riemannian space
- 17 Tensor algebra
- 18 The covariant derivative and parallel transport
- 19 The curvature tensor
- 20 Differential operators, integrals and integral laws
- 21 Fundamental laws of physics in Riemannian spaces
- Part III Foundations of Einstein's theory of gravitation
- Part IV Linearized theory of gravitation, far fields and gravitational waves
- Part V Invariant characterization of exact solutions
- Part VI Gravitational collapse and black holes
- Part VII Cosmology
- Bibliography
- Index
18 - The covariant derivative and parallel transport
Published online by Cambridge University Press: 05 May 2010
Book contents
- Frontmatter
- Contents
- Preface
- Notation
- Part I Special Relativity
- Part II Riemannian geometry
- 14 Introduction: The force-free motion of particles in Newtonian mechanics
- 15 Why Riemannian geometry?
- 16 Riemannian space
- 17 Tensor algebra
- 18 The covariant derivative and parallel transport
- 19 The curvature tensor
- 20 Differential operators, integrals and integral laws
- 21 Fundamental laws of physics in Riemannian spaces
- Part III Foundations of Einstein's theory of gravitation
- Part IV Linearized theory of gravitation, far fields and gravitational waves
- Part V Invariant characterization of exact solutions
- Part VI Gravitational collapse and black holes
- Part VII Cosmology
- Bibliography
- Index
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- RelativityAn Introduction to Special and General Relativity, pp. 126 - 135Publisher: Cambridge University PressPrint publication year: 2004