Special non-K\"ahler metrics on Endo-Pajitnov manifolds
Abstract
We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have invariant de Rham cohomology. Moreover, we obtain an arithmetic and cohomological characterization of pluriclosed and astheno-K\"ahler metrics and show they give new examples in all complex dimensions.
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