Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.

The purpose of this paper is to provide improved results on non-compact manifolds and extensions to isometric embeddings for arbitrary quadratic forms on the tangent bundle of a manifold ("general metrics") and to the local isometric embedding problem

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Greene, Robert Everist, 1943-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I., American Mathematical Society, 1970.
Colección:Memoirs of the American Mathematical Society ; no. 97.
Temas:
Riemann surfaces.
Manifolds (Mathematics)
Riemannian manifolds.
Variétés (Mathématiques)
Variétés de Riemann.
Surfaces de Riemann.
Riemannian manifolds
Riemann surfaces
Isometrische Einbettung
Pseudo-Riemannscher Raum
Riemannscher Raum
Geometria diferencial.
Riemann, Varietats de.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction I. The generalized implicit function theorem II. Implicit function theorems and differentiability in the isometric embedding problem III. Geometric arguments for general metrics IV. The generalized implicit function theorem for metric embeddings V. Metric approximation VI. Non-compact manifolds VII. The local case Appendix. Smoothing operators.

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