Surfaces in Classical Geometries A Treatment by Moving Frames
The careful selection of results serves to show the reader how to prove the most important theorems in the subject, which may become the foundation of future progress. The book pursues significant results beyond the standard topics of an introductory differential geometry course. A sample of these r...
| Main Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2016, 2016
|
| Edition: | 1st ed. 2016 |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Lie Groups
- 3. Theory of Moving Frames
- 4. Euclidean Geometry
- 5. Spherical Geometry
- 6. Hyperbolic Geometry
- 7. Complex Structure
- 8. Minimal Immersions in Euclidean Space
- 9. Isothermic Immersions
- 10. The Bonnet Problem
- 11. CMC 1 Surfaces in H3
- 12. Möbius Geometry
- 13. Complex Structure and Möbius Geometry
- 14. Isothermic Immersions in Möbius Space
- 15. Lie Sphere Geometry
- Solutions to Select Problems
- References
- Index