2023-04-202023-04-202022-04-30Alegre Rueda, P.S., Fernández Fernández, L.M. y Soriano Trigueros, M. (2022). Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds?. ANNALI DI MATEMATICA PURA ED APPLICATA, 201, 2691–2706-2706. https://doi.org/10.1007/s10231-022-01215-9.0373-31141618-1891https://hdl.handle.net/11441/144677Recently, trans-S-manifolds have been defined as a wide class of metric f-manifolds which includes, for instance, f-Kenmotsu manifolds, S-manifolds and C-manifolds and generalize well-studied trans-Sasakian manifolds. The definition of trans-S-manifolds is formulated using the covariant derivative of the tensor f and although this formulation coincides with the characterization of trans-Sasakian manifolds in such a particular case, this latter type of manifolds were not initially defined in this way but using the Gray-Hervella classification of almost Hermitian manifolds. The aim of this paper is to study how (almost) trans-S-manifolds relate with the Gray-Hervella classification and to establish both similarities and differences with the trans-Sasakian case.application/pdf16 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Almost trans-S-manifoldTrans-S-manifoldGray-Hervella’s classificationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s10231-022-01215-9