In this paper, we study biharmonic maps into Sol and Nil spaces, two model spaces of Thurston's 3-dimensional geometries. We characterize non-geodesic biharmonic curves in Sol space and prove that there exists no non-geodesic biharmonic helix in Sol space. We also show that a linear map from a Eu-clidean space into Sol or Nil space is biharmonic if and only if it is a harmonic map, and give a c...

urban spaces and in other words urban design and architecture have been found with close linkage with art and beauty especially the arts such as painting and sculpture. addressing beauty at different areas such as creation of galleries to offer works of art, addressing form of urban spaces and representing works of art in urban environment have improved social life and increased identity, conse...

The corrections to the gravitational potential due to a Sol extra dimensional compact manifold, denoted as M 3 A , are studied. The total spacetime is of the form M 4 × M 3 A. The range of the Sol corrections is investigated and compared to the range of the T 3 corrections. We find that for small values of the radius of the extra dimensions (R < 10 −6) the range of the Sol manifold corrections ...

SOLAR (SOL for Advanced Reasoning) is a first-order clausal consequence finding system based on the SOL (Skip Ordered Linear) tableau calculus. The ability to find non-trivial consequences of an axiom set is useful in many applications of Artificial Intelligence such as theorem proving, query answering and nonmonotonic reasoning. SOL is a connection tableau calculus which is complete for findin...

In this paper, we study inverse curves of general helices in the Sol³. Finally, find out explicit parametric equations

Prolonged immobilization of the human body results in functional impairments and musculoskeletal system deconditioning that may be attenuated by adequate muscle exercise. In a 56-day horizontal bed rest campaign involving voluntary males we investigated the effects of vibration muscle exercise (RVE, 2·6 min daily) on the lower limb skeletal muscles using a newly designed foot plantar trainer (G...

UNLABELLED Our present study was aimed to investigate time-profile kinetics of interleukins, vascular endothelial growth factor (VEGF) in acute inflammatory response following traumatic brain injury, and the influence of activated microglial cells in patients who developed severe space occupying lesion (SOL) of secondary traumatic brain injury. Interleukins IL-6, monocyte chemo attractant prote...