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

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

2003-10-09

arxiv.org/abs/math/0310126v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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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