Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.

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

Saved in:
Bibliographic Details
Main Author: Greene, Robert Everist, 1943-
Format: eBook
Language:English
Published: Providence, R.I., American Mathematical Society, 1970.
Series:Memoirs of the American Mathematical Society ; no. 97.
Subjects:
Riemann surfaces.
Manifolds (Mathematics)
Riemannian manifolds.
Riemannian manifolds
Riemann surfaces
Isometrische Einbettung
Pseudo-Riemannscher Raum
Riemannscher Raum
Geometria diferencial.
Riemann, Varietats de.
Online Access:Click for online access
Table of Contents:
  • 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.

Similar Items