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arxiv: 1612.07063 · v2 · pith:JMCEZOIZnew · submitted 2016-12-21 · 🧮 math.DG

A new class of metric f-manifolds

classification 🧮 math.DG
keywords classf-manifoldsmanifoldsmetricc-manifoldscallexamplesgeneral
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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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