A new class of metric f-manifolds

Published 21 Dec 2016 in math.DG | (1612.07063v2)

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

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