STRONG KAHLER WITH TORSION STRUCTURES FROM ALMOST CONTACT MANIFOLDS

For an almost contact metric manifold N, we find conditions under which either the total space of an S-1-bundle over N or the Riemannian cone over N admit a strong Kahler with torsion (SKT) structure. In so doing, we construct new 6-dimensional SKT manifolds. Moreover, we study the geometric structure induced on a hypersurface of an SKT manifold and use it to construct new SKT manifolds via appropriate evolution equations. We also study hyper-Kahler with torsion (HKT) structures on the total space of an S-1-bundle over manifolds with three almost contact structures.