Surfaces in Classical Geometries [electronic resource] A Treatment by Moving Frames / by Gary R. Jensen, Emilio Musso, Lorenzo Nicolodi.

Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, prov...

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Bibliographic Details
Uniform Title:Universitext, 2191-6675
Main Authors: Jensen, Gary R. (Author)
Musso, Emilio (Author)
Nicolodi, Lorenzo (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Universitext,
Subjects:
Geometry, Differential.
Convex geometry .
Discrete geometry.
Online Access:
Springer Mathematics and Statistics eBooks 2016 English/International: 2016 (Springer Link)
Format: Electronic eBook
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.