We introduce a new general class of metric f-man\-i\-folds which we call (almost) trans-S-manifolds and includes S-manifolds, C-man\-i\-folds, s-th Sasakian manifolds and generalized Kenmotsu manifolds studied previously. We prove their main properties and we present many examples which justify their study.



Additional Information


Alegre, Pablo, Fernández, Luis M., Prieto-Martín, Alicia