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

Year 2020, Volume: 2 Issue: 1, 22 - 30, 04.03.2020

Beldjilali Gherici

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

Thanks

We are honored to publish in your respectable Journal..

References

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