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arXiv · 2403.15618

Special non-K\"ahler metrics on Endo-Pajitnov manifolds

Cristian Ciulică·Alexandra Otiman·Miron Stanciu
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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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Cristian Ciulică, Alexandra Otiman, Miron Stanciu. 2024-03-22. Special non-K\"ahler metrics on Endo-Pajitnov manifolds. https://arxiv.org/abs/2403.15618

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