Giuseppe Seche
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.Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.