Symplectic obstructions to the existence of $ω$-compatible Einstein metrics

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68791It is shown that the existence of an $ω$-compatible Einstein metric on a compact symplectic manifold $(M,ω)$ imposes certain restrictions on the symplectic Chern numbers. Examples of symplectic manifolds which do not satisfy these restrictions are given. The results offer partial support to a conjecture of Goldberg.11 pagesDifferential Geometry53C25Symplectic obstructions to the existence of $ω$-compatible Einstein metricstext