The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds

2004/07/28 by Nikolaos I. Katzourakis, Katzourakis, Nikolaos I. · 1 citation
Mathematics · Physics and Astronomy · #32C09 #53C25 #53Cxx #83C55 #83E15 #83F05 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Primary 53C20 #Secondary 83Cxx

paper · pdf · doi:10.48550/arxiv.math-ph/0407067

openalex publication_date 2004/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• A First Course in General Relativity
• Resource Letter on geometrical results for Embeddings and Branes

Cited by

• On the Global Embedding of Spacetime into Singular ES Einstein\n Manifolds: Wormholes

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• Noncompact homogeneous Einstein manifolds attached to graded Lie algebras
• On the Global Embedding of Spacetime into Singular ES Einstein\n Manifolds: Wormholes
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