Fundamentals of differential geometry

Fundamentals of differential geometry

Enregistré dans:
Détails bibliographiques
Auteur principal : Lang Serge (Auteur)
Format : Livre
Langue : anglais
Titre complet : Fundamentals of differential geometry / Serge Lang
Publié : New York (N.Y.), Berlin, Heidelberg : Springer , cop. 1999
Description matérielle : 1 vol. (XVII-535 p.)
Collection : Graduate texts in mathematics ; 191
Sujets :
Géométrie différentielle > Manuels d'enseignement supérieur
  • General Differential Theory
  • Differential Calculus
  • Manifolds
  • Vector Bundles
  • Vector Fields and Differential Equations
  • Operations on Vector Fields and Differential Forms
  • The Theorem of Frobenius
  • Metrics, Covariant Derivatives, and Riemannian Geometry
  • Metrics
  • Covariant Derivatives and Geodesics
  • Curvature
  • Jacobi Lifts and Tensorial Splitting of the Double Tangent Bundle
  • Curvature and the Variation Formula
  • An Example of Seminegative Curvature
  • Automorphisms and Symmetries
  • Immersions and Submersions
  • Volume Forms and Integration
  • Volume Forms
  • Integration of Differential Forms
  • Stokes Theorem
  • Applications of Stokes Theorem