A variational principle introduced to select some symplectic connections leads to field equations which, in the case of the Levi Civita connection of Kähler manifolds, are equivalent to the condition that the Ricci tensor is parallel. This condition, which is stronger than the field equations, is studied in a purely symplectic framework.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p31bwm,
author = {Cahen, Michel and Gutt, Simone and Rawnsley, John},
title = {Symplectic connections with parallel Ricci tensor},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {31-41},
zbl = {1017.53068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p31bwm}
}
Cahen, Michel; Gutt, Simone; Rawnsley, John. Symplectic connections with parallel Ricci tensor. Banach Center Publications, Tome 51 (2000) pp. 31-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p31bwm/
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