Special non-K\"ahler metrics on Endo-Pajitnov manifolds
Differential Geometry
2024-03-26 v1
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.
Keywords
Cite
@article{arxiv.2403.15618,
title = {Special non-K\"ahler metrics on Endo-Pajitnov manifolds},
author = {Cristian Ciulică and Alexandra Otiman and Miron Stanciu},
journal= {arXiv preprint arXiv:2403.15618},
year = {2024}
}
Comments
16 pages