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

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

2007-06-05

arxiv.org/abs/0706.0707v3

Mathematics

Differential Geometry

To appear on Bull. Austral. Math. Soc

Scientific paper

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

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