A Study of Kenmotsu-like Statistical Submersions

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 man...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 14; no. 8; p. 1681
Main Authors Siddiqi, Mohd. Danish, Siddiqui, Aliya Naaz, Mofarreh, Fatemah, Aytimur, Hülya
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2022
Subjects
Euclidean space
Kenmotsu-like statistical manifolds
Kenmotsu-like statistical submersions
Manifolds
statistical manifolds
statistical submersions
Tensors
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14081681