The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds
Mathematical Physics
2011-06-07 v5 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
We show that every analytic semi-Riemannian manifold can be isometrically embeddded into an Einstein maifold in co-dimension one.
Keywords
Cite
@article{arxiv.math-ph/0407067,
title = {The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds},
author = {Nikolaos I. Katzourakis},
journal= {arXiv preprint arXiv:math-ph/0407067},
year = {2011}
}
Comments
There has been discovered a misconseption which does not allow the solvability of the algebraic systems arising in the proof without further topological assumptions on the manifold