Strong Kähler with torsion structures from almost contact manifolds

What is it about?

For an almost contact metric manifold N, we find conditions under which either the total space of an S1-bundle over N or the Riemannian cone over N admit a strong Kähler 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-Kähler with torsion (HKT) structures on the total space of an S1-bundle over manifolds with three almost contact structures.

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