Discrete Isothermic Surfaces in Lie Sphere Geometry

This book provides a highly accessible approach to discrete surface theory, within the unifying frameworks of Moebius and Lie sphere geometries, from the perspective of transformation theory of surfaces rooted in integrable systems. It elucidates how the transformation theory for smooth surfaces can...

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Detalles Bibliográficos
Autores principales: Cho, Joseph (Autor), Naokawa, Kosuke (Autor), Ogata, Yuta (Autor), Pember, Mason (Autor), Rossman, Wayne (Autor), Yasumoto, Masashi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Lenguaje:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edición:1st ed. 2025.
Colección:Lecture Notes in Mathematics, 2375
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Acceso en línea:https://doi.org/10.1007/978-3-031-95592-1
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Tabla de Contenidos:
  • Chapter 1. Introduction
  • Chapter 2.Isothermic surfaces in Möbius geometry
  • Chapter 3. From smooth to discrete via permutability
  • Chapter 4. Discrete Isothermic surfaces
  • Chapter 5. Ω-surfaces in Lie sphere geometry
  • Chapter 6. Integrability of Ω-surfaces via isothermicity
  • Chapter 7. Discrete Ω-surfaces.