“School of Mathematics”
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| Paper IPM / M / 18025 |
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| Abstract: | |
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In this paper, we introduce Einsteinâ??s manifold theory from a mathematical and physical viewpoint. We present some obstructions for a manifold to be equipped with the structure of an Einstein manifold. We discuss the Hamiltonian approach to Einstein manifold theory and the chirality of the Lie algebra of an Einstein Lie group. We also discuss Einsteinâ??s structure on non-compact manifolds and present some partial results on Einsteinâ??s structure on the tangent bundle.
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