Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds

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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 Kählerian structures.
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Differential Geometry, 53C15; 53C25; 53C26; 53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/162361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2974
 http://arxiv.org/abs/0803.2974

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arXiv