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

CAPPELLETTI MONTANO, BENIAMINO;DI TERLIZZI L.

2008-01-01

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Abstract

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