The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, vectorial type and twistorial type, which is also called the traceless cyclic component. In this paper we classify complete simply connected manifolds carrying whose parallel, nonzero component vanishing

Based on the concept of free energy, we give a Hamiltonian formulation for the torsion dynamics of macromolecules. The appropriate reaction coordinates for the free energy calculations are deened in terms of soft constraints as introduced in 3] and 14]. We consider a few simpliications that allow one to calculate the free energy analytically and to write the corresponding equations of motion as...