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arXiv · 0909.3946

Strong Kaehler with torsion structures from almost contact manifolds

Marisa Fernandez·Anna Fino·Luis Ugarte·Raquel Villacampa
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Abstract

For an almost contact metric manifold $N$, we find conditions for which either the total space of an $S^1$-bundle over $N$ or the Riemannian cone over $N$ admits a strong Kähler with torsion (SKT) structure. In this way we construct new 6-dimensional SKT manifolds. Moreover, we study the geometric structure induced on a hypersurface of an SKT manifold, and use such structures to construct new SKT manifolds via appropriate evolution equations. Hyper-Kähler with torsion (HKT) structures on the total space of an $S^1$-bundle over manifolds with three almost contact structures are also studied.

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Marisa Fernandez, Anna Fino, Luis Ugarte, Raquel Villacampa. 2010-11-18. Strong Kaehler with torsion structures from almost contact manifolds. https://arxiv.org/abs/0909.3946

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