We give a procedure for constructing an 8n-dimensional HKT Lie algebra starting from a 4n-dimensional one by using a quaternionic representation of the latter. The strong (respectively weak) condition is preserved by our construction. This allows to find new compact examples of strong HKT manifolds.

Besides assessment of forensic patients' risk of future violence and criminogenic needs, knowledge on their responsivity to treatment is equally important. However, instruments currently used for risk assessment are not sensitive enough for treatment evaluation. Therefore, the Instrument for Forensic Treatment Evaluation (IFTE) was developed. The IFTE is a treatment evaluation tool, which uses ...

Let M be a hypercomplex Hermitian manifold, (M, I) the same manifold considered as a complex Hermitian with a complex structure I induced by the quaternions. The standard linear-algebraic construction produces a canonical nowhere degenerate (2,0)-form Ω on (M, I). It is well known that M is hyperkähler if and only if the form Ω is closed. The M is called HKT (hyperkähler with torsion) if Ω is c...

BACKGROUND High affinity potassium transporters (HKTs) are located in the plasma membrane of the vessels and have significant influence on salt tolerance in some plants. They exclude Na(+) from the parenchyma cells to reduce Na(+) concentration. Despite many studies, the underlying regulatory mechanisms and the exact functions of HKTs within different genomic backgrounds are relatively unknown....

We show that the moduli space of supersymmetric black holes that arise in the five-dimensional N = 2 supergravity theory with any number of vector multiplets is a weak HKT manifold. The moduli metric is expressed in terms of a HKT potential which is determined by the associated very special geometry of the supergravity theory. As an example, we give explicitly the black hole moduli metric for t...

Chronic kidney disease (CKD) is an established risk factor for incident cardiovascular disease and progression of heart failure disease state, and is associated with decreased survival after left ventricular assist device (LVAD) therapy or heart transplantation (HT). Combined heart-kidney transplantation (HKT) compared with isolated HT recently has been shown to have survival advantage among pa...

We construct the twistor space associated with an HKT manifold, that is, a hyper-Kähler manifold with torsion, a type of geometry that arises as the target space geometry in two-dimensional sigma models with (4,0) supersymmetry. We show that this twistor space has a natural complex structure and is a holomorphic fibre bundle over the complex projective line with fibre the associated HKT manifol...

salinity is one of the important problems in the world's agricultural land that each year millions tons of salt from the soil through crop irrigation arrive to arable lands. wheat is one of the first and most important cereal crops in the world that provide staple food for more than a third of the world's population. using modern genetic methods such as sequencing provided quickly and...