Book Volume 117 2002

Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession

The Theory of Gyrogroups and Gyrovector Spaces

Authors:

ISBN: 978-0-7923-6909-7 (Print) 978-0-306-47134-6 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xlii

  2. No Access

    Chapter

    Pages 1-34

    Thomas Precession: The Missing Link

  3. No Access

    Chapter

    Pages 35-71

    Gyrogroups: Modeled on Einstein’S Addition

  4. No Access

    Chapter

    Pages 73-94

    The Einstein Gyrovector Space

  5. No Access

    Chapter

    Pages 95-139

    Hyperbolic Geometry of Gyrovector Spaces

  6. No Access

    Chapter

    Pages 141-160

    The Ungar Gyrovector Space

  7. No Access

    Chapter

    Pages 161-210

    The MÖbius Gyrovector Space

  8. No Access

    Chapter

    Pages 211-252

    Gyrogeometry

  9. No Access

    Chapter

    Pages 253-278

    Gyrooprations — the SL(2, c) Approach

  10. No Access

    Chapter

    Pages 279-311

    The Cocycle Form

  11. No Access

    Chapter

    Pages 313-328

    The Lorentz Group and its Abstraction

  12. No Access

    Chapter

    Pages 329-370

    The Lorentz Transformation Link

  13. No Access

    Chapter

    Pages 371-380

    Other Lorentz Groups

  14. Back Matter

    Pages 381-418