3 papers
math.DG2025
Kodaira dimension of almost complex -manifolds with torsion first Chern class
Lorenzo Sillari, Adriano Tomassini
In this paper we investigate the Kodaira dimension of almost complex -manifolds with torsion first Chern class. First, we prove that, if the almost complex structure is also tam…
math.DG2025
Kodaira dimension of -structures
Lorenzo Sillari, Adriano Tomassini
We study the Kodaira dimension of almost complex manifolds admitting an -structure. We introduce the notion of almost complex structure of splitting type and of as…
math.DG2025
Invariant and non-invariant almost complex structures on compact quotients of Lie groups
Lorenzo Sillari, Adriano Tomassini
In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures wit…