English

How to construct all metric $f$-$K$-contact manifolds

Differential Geometry 2020-08-20 v1

Abstract

We show that any compact metric ff-KK-contact, respectively SS-manifold is obtained from a compact KK-contact, respectively Sasakian manifold by an iteration of constructions of mapping tori, rotations, and type II deformations.

Keywords

Cite

@article{arxiv.2008.08365,
  title  = {How to construct all metric $f$-$K$-contact manifolds},
  author = {Oliver Goertsches and Eugenia Loiudice},
  journal= {arXiv preprint arXiv:2008.08365},
  year   = {2020}
}