Structures and $\mathcal{D}$-isometric warping

Authors : Beldjilali GHERİCİ

Pages : 22-30

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Publication Date : 2020-03-04

Article Type : Research Paper

Abstract :We introduce the notion of $\mathcal{D}$-isometric warping and prove some basic properties. We give an application to some questions of the characterization of certain geometric structures. Firstly, we construct a $1$-parameter family of K\`ahlerian structures from a single Sasakian structure with a concrete example. Secondly, we build a quaternionic K\`ahlerian structure from a $3$-Sasakian structures.
Keywords : Sasakian structure, K`ahlerian structure, 3 Sasakian structure