Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds

Year 2020, Volume: 13 Issue: 2, 135 - 143, 15.10.2020

Bouzir Habib , Beldjılalı Gherici

https://doi.org/10.36890/iejg.756830

Abstract

It's shown that for some changes of metrics and structural tensors, the product of two Trans-Sasakian manifolds is a K\"{a}hlerian manifold. This gives a new positive answer and more generally to Blair-Oubi$\tilde{n}$a's open question (see [7] and [17]). Concrete examples are given.                                                                                                            .......................................................................                                                                     

Keywords

Trans-Sasakian manifolds, K\"ahlerian manifolds, product manifolds

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