On generalized quasi-Sasaki manifolds

Christof Puhle

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arXiv · 1211.2830

On generalized quasi-Sasaki manifolds

Christof Puhle

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Abstract

We study 5-dimensional Riemannian manifolds that admit an almost contact metric structure. In particular, we generalize the class of quasi-Sasaki manifolds and characterize these structures by their intrinsic torsion. Among other things, we see that these manifolds admit a unique metric connection that is compatible with the underlying almost contact metric structure. Finally, we construct a family of examples that are not quasi-Sasaki.

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Christof Puhle. 2012-11-12. On generalized quasi-Sasaki manifolds. https://arxiv.org/abs/1211.2830

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