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.
Contact metric (k,μ)-spaces as bi-Legendrian manifolds
CAPPELLETTI MONTANO, BENIAMINO;
2008
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.
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