23 papers · 1 filter
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…
-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…
Magnetic Killing tensors and first integrals of the magnetic flow
Andrei Moroianu, Gabriela Ovando
In this work we introduce a new family of symmetric tensors generalizing Killing tensors, that we call magnetic Killing symmetric tensors. We make use of them to construct first in…