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A characterization of cohomological Einstein Kaehler manifolds and applications


The main result of this paper gives a characterization of complex 2-dimensional cohomological Einstein Kaehler manifolds. As a consequence we obtain some interesting restrictions for the constructions of cohomological Einstein metrics on complex 2-manifolds.

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This work was carried out in the framework of a national plan of research financed by M.P.I.

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Perrone, D. A characterization of cohomological Einstein Kaehler manifolds and applications. Geom Dedicata 22, 255–260 (1987).

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  • Einstein Metrics
  • Interesting Restriction
  • Kaehler Manifold