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arXiv · 0706.0707

Contact metric $(κ,μ)$-spaces as bi-Legendrian manifolds

Beniamino Cappelletti Montano·Luigia Di Terlizzi
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Abstract

We regard a contact metric manifold whose Reeb vector field belongs to the $(κ,μ)$-nullity distribution as a bi-Legendrian manifold and we study its canonical bi-Legendrian structure. Then we characterize contact metric $(κ,μ)$-spaces in terms of a canonical connection which can be naturally defined on them.

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Beniamino Cappelletti Montano, Luigia Di Terlizzi. 2008-02-23. Contact metric $(κ,μ)$-spaces as bi-Legendrian manifolds. https://doi.org/10.1017/s0004972708000221

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