The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds

Abstract

We show that every analytic semi-Riemannian manifold can be isometrically embeddded into an Einstein maifold in co-dimension one.

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

References in corpus (2)

• Brane-World Gravity
• On the embedding of branes in five-dimensional spaces

Cited by in corpus (3)

• On the Global Embedding of Spacetime into Singular ES Einstein Manifolds: Wormholes
• Global Embedding of Analytic Branes into Einstein MD Bulk Cosmology
• Global Embedding of Analytic Branes into ES Einstein MD Bulk Cosmology: Wormholes