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arXiv · 1909.00128

A new family of homogeneous Einstein manifolds based on symplectic triple systems

Cristina Draper
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Abstract

For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this is an Einstein manifold.

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Cristina Draper. 2019-08-31. A new family of homogeneous Einstein manifolds based on symplectic triple systems. https://arxiv.org/abs/1909.00128

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