Structures and $\mathcal{D}$-isometric warping
Authors : Beldjilali Gherici
Pages : 22-30
View : 9 | Download : 5
Publication Date : 2020-03-04
Article Type : Research
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