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arXiv · 2609.40042

Einstein manifolds and extended Poincaré algebras

D. V. Alekseevsky·A. N. Lavrov
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Abstract

For any pseudo-Euclidean space $V \simeq \mathbb{R}^{p, q}, p \geq 3$ and module $W$ over the even Clifford algebra $\text{Cl}^{0}(V)$, V. Córtes constructed noncompact homogeneous quaternion pseudo-Kahler space. In particular, such homogeneous space is always Einstein and for $p=3$ it is Riemannian. Based on this approach we construct the series of Riemannian Einstein homogoneous spaces with negative scalar curvature associated with $V\simeq \mathbb{R}^{p, q}, p\equiv 3 \pmod{4}$ and an irreducible $\text{Cl}^{0}(V)$-module $W$.

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D. V. Alekseevsky, A. N. Lavrov. 2026-09-30. Einstein manifolds and extended Poincaré algebras. https://arxiv.org/abs/2609.40042

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