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Geometric mechanics

Overview of attention for book
Cover of 'Geometric mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 1. Differentiable manifolds
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    Chapter 3 2. Vector fields, differential forms and tensor fields
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    Chapter 4 3. Pseudo-Riemannian manifolds
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    Chapter 5 4. Newtonian mechanics
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    Chapter 6 5. Mechanical systems on Riemannian manifolds
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    Chapter 7 6. Mechanical systems with non-holonomic constraints
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    Chapter 8 7. Hyperbolicity and Anosov systems. Vakonomic mechanics
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    Chapter 9 8. Special relativity
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    Chapter 10 9. General relativity
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    Chapter 11 A. Hamiltonian and Lagrangian formalisms
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    Chapter 12 B. Möbius transformations and the Lorentz group
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    Chapter 13 C. Quasi-Maxwell form of Einstein’s equation
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    Chapter 14 D. Viscosity solutions and Aubry-Mather theory
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    Chapter 15 References
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    Chapter 16 Index
Attention for Chapter 3: 2. Vector fields, differential forms and tensor fields
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