Introduction to reimannian manifolds /

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Detalles Bibliográficos
Autor principal: Lee, John M.
Formato: Libro
Lenguaje:Inglés
Publicado: New York, NY : Springer, c2021
Edición:2nd ed.
Colección:Graduate texts in mathematics ; 176
Materias:
Aporte de:Registro referencial: Solicitar el recurso aquí
Tabla de Contenidos:
  • 1 What is curvature?
  • 2 Riemannian metrics
  • 3 Model riemannian manifolds
  • 4 Connections
  • 5 The Levi-Cevita connection
  • 6 Geodesics and distance
  • 7 Curvature
  • 8 Riemannian submanifolds
  • 9 The Gauss–Bonnet theorem
  • 10 Jacobi fields
  • 11 Comparison theory
  • 12 Curvature and topology
  • Appendix A Review of smooth manifolds
  • Appendix B Review of tensors
  • Appendix C Review of lie groups