Homogeneous Einstein manifolds based on symplectic triple systems

Cristina Draper Fontanals

Communications in Mathematics (2020)

  • Volume: 28, Issue: 2, page 139-154
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Fontanals, Cristina Draper. "Homogeneous Einstein manifolds based on symplectic triple systems." Communications in Mathematics 28.2 (2020): 139-154. <http://eudml.org/doc/297280>.

@article{Fontanals2020,
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.},
author = {Fontanals, Cristina Draper},
journal = {Communications in Mathematics},
language = {eng},
number = {2},
pages = {139-154},
publisher = {University of Ostrava},
title = {Homogeneous Einstein manifolds based on symplectic triple systems},
url = {http://eudml.org/doc/297280},
volume = {28},
year = {2020},
}

TY - JOUR
AU - Fontanals, Cristina Draper
TI - Homogeneous Einstein manifolds based on symplectic triple systems
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 2
SP - 139
EP - 154
AB - 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.
LA - eng
UR - http://eudml.org/doc/297280
ER -

References

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