Abstract
In the present article, we extend the integral formula on a compact almost Kähler manifold with positive-definite metric to the one on a compact indefinite almost Kähler manifold and give its applications for some special indefinite almost Kähler Einstein manifolds taking the related problems to the indefinite analogy of Goldberg conjecture into consideration.
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Sekigawa, K., Yamada, A. Compact indefinite almost Kähler Einstein manifolds. Geom Dedicata 132, 65–79 (2008). https://doi.org/10.1007/s10711-007-9166-4
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DOI: https://doi.org/10.1007/s10711-007-9166-4