Locally conformal almost quasi-Sasakian manifolds are related to the Chinea–Gonzales classification of almost contact metric manifolds. It follows that these manifolds set up a wide class of almost contact metric manifolds containing several interesting subclasses. Contact Riemannian submersions whose total space belongs to each of the considered classes are then investigated. The explicit expression of the integrability tensor and of the mean curvature vector field of each fibre are given. This allows us to state the integrability of the horizontal distribution and/or the minimality of the fibres in particular cases. The classes of the base space and of the fibres are also determined, so extending several well-known results.
Some classes of almost contact metric manifolds and contact Riemannian submersions
FALCITELLI, Maria
2004-01-01
Abstract
Locally conformal almost quasi-Sasakian manifolds are related to the Chinea–Gonzales classification of almost contact metric manifolds. It follows that these manifolds set up a wide class of almost contact metric manifolds containing several interesting subclasses. Contact Riemannian submersions whose total space belongs to each of the considered classes are then investigated. The explicit expression of the integrability tensor and of the mean curvature vector field of each fibre are given. This allows us to state the integrability of the horizontal distribution and/or the minimality of the fibres in particular cases. The classes of the base space and of the fibres are also determined, so extending several well-known results.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
