Artículo
Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds?
Autor/es | Alegre Rueda, Pablo Sebastián
![]() ![]() ![]() ![]() ![]() ![]() Fernández Fernández, Luis Manuel ![]() ![]() ![]() ![]() ![]() ![]() ![]() Soriano Trigueros, Manuel |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2022-04-30 |
Fecha de depósito | 2023-04-20 |
Publicado en |
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Resumen | Recently, 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 ... Recently, 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. |
Cita | Alegre 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. |
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