We study HKT structures on nilpotent Lie groups and on associated nilmanifolds. We exhibit three weak HKT structures on R which are homogeneous with respect to extensions of Heisenberg type Lie groups. The corresponding hypercomplex structures are of a special kind, called abelian. We prove that on any 2-step nilpotent Lie group all invariant HKT structures arise from abelian hypercomplex struc...

BACKGROUND Health literacy affects the acquisition of health knowledge and is thus linked to health outcomes. However, few scales have been developed to assess the level of health knowledge among the general public. METHODS The 15-item Japanese Health Knowledge Test (J-HKT) was developed by using item response theory to score an item pool. We examined the construct validity of the J-HKT in re...

The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n)Sp(1) (resp. Sp(n)), QKT (resp. HKT)-spaces. We study the geometry of QKT, HKT manifold and their twistor spaces. We show that the Swann bundle of a QKT manifold admits a HKT structure with special symmetry if and only i...

Although abdominal bloating is one of the most bothersome symptoms experienced by patients with functional dyspepsia (FD), therapeutic drugs to relieve abdominal bloating have not been established. We investigated the Kampo (Chinese herbal) medicine, Hangekobokuto (Banxia-houpo-tang, HKT) for patients with FD from the standpoint of bowel gas retention. The bowel gas volume calculated from a pla...

The high-affinity K(+) transporter (HKT) family comprises a group of multifunctional cation transporters widely distributed in organisms ranging from Bacteria to Eukarya. In angiosperms, the HKT family consists primarily of nine types, whose evolutionary relationships are not fully understood. The available sequences from 31 plant species were used to perform a comprehensive evolutionary analys...

The aim of this research is to evaluate and analyze the influence different degrees salt stress on tolerance Australian wheat lines having characteristics derived from wild types in comparison with a local cultivar well–adapted Anatolian conditions under controlled conditions. In research, two lines, namely AU5924 AU5907, adapted harbor HKT1;4 HKT1;5 loci Bayraktar 2000 used as genetic material...

We construct examples of compact hyperkähler manifolds with torsion (HKT manifolds) which are not homogeneous and not locally conformal hyperkähler. Consider a total space T of a tangent bundle over a hyperkähler manifold M . The manifold T is hypercomplex, but it is never hyperkähler, unless M is flat. We show that T admits an HKT-structure. We also prove that a quotient of T by a Z-action v −...

Some selected applications of KT and HKT geometries in string theory, supergravity, black hole moduli spaces and hermitian geometry are reviewed. It is shown that the moduli spaces of a large class of five-dimensional supersymmetric black holes are HKT spaces. In hermitian geometry, it is shown that a compact, conformally balanced, strong KT manifold whose associated KT connection has holonomy ...

We show that under well-defined conditions the Hohenberg-Kohn theorem (HKT) that provides the foundation of ground-state density functional theory (DFT) can be extended to the lowest-energy resonance of unbound electronic systems. The extended version of the HKT provides an adequate framework to carry out DFT calculations of negative electron affinities.

Na(+) and K(+) homeostasis are crucial for plant growth and development. Two HKT transporter/channel classes have been characterized that mediate either Na(+) transport or Na(+) and K(+) transport when expressed in Xenopus laevis oocytes and yeast. However, the Na(+)/K(+) selectivities of the K(+)-permeable HKT transporters have not yet been studied in plant cells. One study expressing 5' untra...