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

Tedi Draghici

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

Tedi Draghici

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Abstract

It 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.

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BibTeX RIS

Tedi Draghici. 2003-10-09. Symplectic obstructions to the existence of $ω$-compatible Einstein metrics. https://arxiv.org/abs/math/0310126

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