1 citations · 1 across the 7 of their papers we have counts for
7 papers
-Kähler structures on nilmanifolds and holomorphically parallelizable manifolds
Ettore Lo Giudice, Asia Mainenti
We prove the Alessandrini-Bassanelli conjecture on nilmanifolds with nilpotent complex structures and on holomorphically parallelizable solvmanifolds. As a consequence, we classify…
Invariant complex structures on SL(2,C)
Joseph Kwong, Asia Mainenti
We classify the left-invariant complex structures on the real Lie group SL(2,C) up to Lie group automorphism. The classification consists of the bi-invariant complex structure, a f…
Special structures on almost abelian solvmanifolds
Asia Mainenti, Andrei Moroianu
We characterize every almost abelian Lie algebra endowed with an integrable complex structure by a triple, called presentation, consisting of a real number, an element in some vect…
-Kähler structures on fibrations and reductive Lie groups
Anna Fino, Gueo Grantcharov, Asia Mainenti
We investigate the existence of -Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and…
Some criteria for positive forms and applications
Filippo Fagioli, Asia Mainenti
The aim of this paper is to gain a better understanding of weak and strong positivity for exterior forms on complex vector spaces. We prove a dimensionality reduction argument for…
On the existence of balanced metrics of Hodge-Riemann type
Anna Fino, Asia Mainenti
In the paper we study the existence of balanced metrics of Hodge-Riemann type on non-Kähler complex manifolds. We first find some general obstructions, for instance that a Hodge-Ri…
A note on -Kähler structures on compact quotients of Lie groups
Anna Fino, Asia Mainenti
A -Kähler structure on a complex manifold of complex dimension is given by a -closed transverse real -form. In the paper we study the existence of -Kähler struc…