arXiv Open Access 2026

$p$-Kähler structures on fibrations and reductive Lie groups

Anna Fino Gueo Grantcharov Asia Mainenti

Lihat Sumber

Abstrak

We investigate the existence of $p$-Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and on reductive Lie groups endowed with invariant complex structures. In the latter setting, we construct non-regular complex structures on the Lie algebras $\mathfrak{sl}(2m-1,\mathbb{R})$ for $m \ge 2$ and show that these structures admit compatible balanced metrics, providing new explicit examples of balanced manifolds.

Topik & Kata Kunci

math.DG math.CV

Penulis (3)

Anna Fino

Gueo Grantcharov

Asia Mainenti

Format Sitasi

APA MLA BibTeX

Fino, A., Grantcharov, G., Mainenti, A. (2026). $p$-Kähler structures on fibrations and reductive Lie groups. https://arxiv.org/abs/2601.21849

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓