2 papers
math.DG2026
On astheno-Kähler nilmanifolds with balanced metrics
A. Latorre, L. Ugarte
In this paper we study the structure of complex nilmanifolds admitting some special classes of Hermitian metrics, namely, astheno-Kähler, strongly Gauduchon and balanced metri…
math.DG2025
Nilmanifolds with non-nilpotent complex structures and their pseudo-Kähler geometry
A. Latorre, L. Ugarte
We classify nilpotent Lie algebras with complex structures of weakly non-nilpotent type in real dimension eight, which is the lowest dimension where they arise. Our study, together…