Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction to geometrical frustration
- 2 Ideal models
- 3 Finite structures
- 4 Decurving and disclinations
- 5 Hierarchical polytopes
- 6 Some physical properties
- 7 Periodic structures with large cells
- 8 Quasiperiodic order and frustration
- A1 Spaces with constant curvature
- A2 Quaternions and related groups
- A3 Hopf fibration
- A4 Polytopes and honeycombs
- A5 Polytope {3, 3, 5}
- A6 Frank and Kasper coordination polyhedra
- A7 Quasiperiodic tilings: cut and projection
- A8 Differential geometry and parallel transport
- A9 Icosahedral quasicrystals and the E8 lattice
- Bibliography
- Index
A8 - Differential geometry and parallel transport
Published online by Cambridge University Press: 06 January 2010
- Frontmatter
- Contents
- Preface
- 1 Introduction to geometrical frustration
- 2 Ideal models
- 3 Finite structures
- 4 Decurving and disclinations
- 5 Hierarchical polytopes
- 6 Some physical properties
- 7 Periodic structures with large cells
- 8 Quasiperiodic order and frustration
- A1 Spaces with constant curvature
- A2 Quaternions and related groups
- A3 Hopf fibration
- A4 Polytopes and honeycombs
- A5 Polytope {3, 3, 5}
- A6 Frank and Kasper coordination polyhedra
- A7 Quasiperiodic tilings: cut and projection
- A8 Differential geometry and parallel transport
- A9 Icosahedral quasicrystals and the E8 lattice
- Bibliography
- Index
Summary
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- Chapter
- Information
- Geometrical Frustration , pp. 273 - 285Publisher: Cambridge University PressPrint publication year: 1999