A Study of Kenmotsu-like Statistical Submersions

Abstract

In this paper, we first define a Kenmotsu-like statistical manifold (K.l.s.m) with examples. Then, we switch to Kenmotsu-like statistical submersions (K.l.s.s), where we investigate the fact that, for such submersions, each fiber is a statistical manifold that is similar to K.l.s.m, and the base manifold is similar to the Kähler-like statistical manifold. Subsequently, assuming the postulate that the curvature tensor with regard to the affine connections of the total space obeys certain criteria, we analyze such statistical submersions to those developed by Kenmotsu. Lastly, we talk about statistical submersions (SS) with conformal fibers (CFs) that are K.l.s.m.

Keywords

• statistical manifolds
• Kenmotsu-like statistical manifolds
• statistical submersions
• Kenmotsu-like statistical submersions