Eleonora Fois
Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold
CAPPELLETTI MONTANO, BENIAMINO
2010-01-01
Abstract
We find necessary and sufficient conditions for the bi-Legendrian connection \nabla associated to a bi-Legendrian structure (F,G) on a contact metric manifold (M,\phi,\xi,\eta,g) being a metric connection and then we give conditions ensuring that \nabla coincides with the (generalized) Tanaka-Webster connection of (M,\phi,\xi,\eta,g). Using these results, we give some interpretations of the Tanaka-Webster connection and we study the interactions between the Tanaka-Webster, the bi-Legendrian and the Levi Civita connection in a Sasakian manifold.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.