Symplectic obstructions to the existence of ω-compatible Einstein metrics
classification
🧮 math.DG
keywords
symplecticomegacompatibleeinsteinexistencerestrictionscertainchern
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It is shown that the existence of an $\omega$-compatible Einstein metric on a compact symplectic manifold $(M,\omega)$ 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.
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