Mixed metric 3-contact manifolds and paraquaternionic K\"ahler manifolds
Differential Geometry
2008-06-07 v2
Abstract
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 . We also prove a result of projectability of such structures onto paraquaternionic K\"ahlerian structures.
Keywords
Cite
@article{arxiv.0803.2974,
title = {Mixed metric 3-contact manifolds and paraquaternionic K\"ahler manifolds},
author = {Angelo V. Caldarella and Anna Maria Pastore},
journal= {arXiv preprint arXiv:0803.2974},
year = {2008}
}
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