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Einstein manifolds and extended Poincaré algebras
Abstract
For any pseudo-Euclidean space V ≃ ℝp, q, p ≥ 3 and module W over the even Clifford algebra Cl0(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≃ ℝp, q, p≡ 3 pmod4 and an irreducible Cl0(V)-module W.
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BibTeX
@misc{alekseevsky2026einstein,
title = {{Einstein manifolds and extended Poincaré algebras}},
author = {D. V. Alekseevsky and A. N. Lavrov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.40042},
eprint = {2609.40042},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40042},
}
RIS
TY - UNPB
TI - Einstein manifolds and extended Poincaré algebras
AU - D. V. Alekseevsky
AU - A. N. Lavrov
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.40042
UR - https://arxiv.org/abs/2609.40042
AB - For any pseudo-Euclidean space V ≃ ℝ^p, q, p ≥ 3 and module W over the even Clifford algebra 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≃ ℝ^p, q, p≡ 3 pmod4 and an irreducible Cl^0(V)-module W.
ER -