Homogeneous Einstein manifolds based on symplectic triple systems

Cristina Draper Fontanals

doi:10.2478/cm-2020-0016

Cristina Draper Fontanals - Homogeneous Einstein manifolds based on symplectic triple systems

cm:9508 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0016

Homogeneous Einstein manifolds based on symplectic triple systemsArticle

Authors: Cristina Draper Fontanals

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.

https://doi.org/10.2478/cm-2020-0016

Source: HAL:hal-03664990v1

Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)

Published on: October 11, 2020

Imported on: May 11, 2022

Keywords: [MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)