Surfaces in Classical Geometries A Treatment by Moving Frames /

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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jensen, Gary R. (Autor), Musso, Emilio (Autor), Nicolodi, Lorenzo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Universitext,
Temas:
Geometry, Differential.
Convex geometry .
Discrete geometry.
Differential Geometry.
Convex and Discrete Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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