18 papers
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…
Semi-integrable almost hyperhermitian structures
Giovanni Gentili, Andrei Moroianu
In this work, we introduce a family of almost hyperhermitian structures that we call semi-integrable. We subdivide them into four disjoint classes and show that each class is non-e…
Geometries with parallel, skew-symmetric and closed torsion
Andrei Moroianu, Paul Schwahn
We study Riemannian manifolds carrying a metric connection with parallel, skew-symmetric and closed torsion, which we call in short PSCT manifolds. We prove that PSCT manifolds alw…
Balanced subsets in root systems
Andrei Moroianu, Paul Schwahn
Balanced and well-balanced subsets of the set of positive roots of compact Lie algebras arise naturally in problems related to Hermitian and spin geometry. In this paper we compute…
-structures with parallel skew-symmetric torsion
Andrei Moroianu, Uwe Semmelmann
We classify -dimensional Riemannian manifolds carrying a metric connection with parallel skew-symmetric torsion whose holonomy is contained in , up to naturally re…
Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid
Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi
We prove the following rigidity result: every compact three-dimensional Heterotic soliton with vanishing torsion and harmonic curvature is rigid, namely, it is an isolated point in…