Contact metric $(\kappa,\mu)$-spaces as bi-Legendrian manifolds
Differential Geometry
2013-06-18 v3
Abstract
We regard a contact metric manifold whose Reeb vector field belongs to the -nullity distribution as a bi-Legendrian manifold and we study its canonical bi-Legendrian structure. Then we characterize contact metric -spaces in terms of a canonical connection which can be naturally defined on them.
Keywords
Cite
@article{arxiv.0706.0707,
title = {Contact metric $(\kappa,\mu)$-spaces as bi-Legendrian manifolds},
author = {Beniamino Cappelletti Montano and Luigia Di Terlizzi},
journal= {arXiv preprint arXiv:0706.0707},
year = {2013}
}
Comments
To appear on Bull. Austral. Math. Soc