Trans-S-manifolds and the Gray-Hervella's Classification


Presenting author: Manuel Soriano-Trigueros


Trans-S-manifolds are a natural generalization of Trans-Sasakian manifolds for metric f-structures. Their definition relies in the covariant derivative of the structure tensor. We study how the Gray-Hervella's Classification relates with Tran-S-manifolds, showing some similarities and differences with the almost contact case.