Korean J. Math. Vol. 27 No. 4 (2019) pp.1061-1075
DOI: https://doi.org/10.11568/kjm.2019.27.4.1061

Sasakian structures on products of real line and Kahlerian manifold

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Published: Dec 30, 2019
Keywords:
Product manifolds, Sasakian manifolds, K¨ahlerian manifolds.
Mathematics Subject Classification:
K¨ahlerian manifolds., 53C15, 53C25, 53C55

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Beldjilali Gherici
Department of Mathematics University of Mascara, Algeria
Mohamed cherif Ahmed
Department of Mathematics University of Mascara, Algeria
Zegga Kaddour
Department of Mathematics University of Mascara, Algeria

Abstract

In this paper, we construct a Sasakian manifold by the product of real line and K\"{a}hlerian manifold with exact K\"{a}hler form. This result demonstrates the close relation between Sasakian and K\"{a}hlerian manifold with exact K\"{a}hler form. We present an example and an open problem.


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