Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- III Lie Groups, Bundles, and Chern Forms
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
Appendix E - Orbits and Morse–Bott Theory in Compact Lie Groups
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- III Lie Groups, Bundles, and Chern Forms
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
Summary
There once was a real classy Groupie
Who longed from the homotopyists to mut'nie
Bott appeared, it was Fate,
Made her period 8
By applying Morse Code to her Loopie.
The Topology of Conjugacy Orbits
We now wish to study in more detail the topology of conjugacy orbits in a compact Lie group G with given maximal torus T. But first we present an example (more complicated than the SO (3) case of Figure D.1) to keep in mind.
- Type
- Chapter
- Information
- The Geometry of PhysicsAn Introduction, pp. 670 - 678Publisher: Cambridge University PressPrint publication year: 2003