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arXiv · 1907.12350

On the topology of metric $f$-$K$-contact manifolds

Oliver Goertsches·Eugenia Loiudice
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Abstract

We observe that the class of metric $f$-$K$-contact manifolds, which naturally contains that of $K$-contact manifolds, is closed under forming mapping tori of automorphisms of the structure. We show that the de Rham cohomology of compact metric $f$-$K$-contact manifolds naturally splits off an exterior algebra, and relate the closed leaves of the characteristic foliation to its basic cohomology.

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Oliver Goertsches, Eugenia Loiudice. 2019-08-28. On the topology of metric $f$-$K$-contact manifolds. https://arxiv.org/abs/1907.12350

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