Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds

Details Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds

2008-03-20

arxiv.org/abs/0803.2974v2

Mathematics

Differential Geometry

This paper has been withdrawn by the author(s)

Scientific paper

We study manifolds endowed with mixed metric 3--contact structures, proving
that the distribution spanned by the Reeb vector fields is integrable, with
totally geodesic integral manifolds, of constant sectional curvature $k=\pm1$.
We also prove a result of projectability of such structures onto
paraquaternionic K\"ahlerian structures.

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