Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds

Siddiqui, Aliya Naaz; Siddiqi, Mohd Danish; Alkhaldi, Ali H.

doi:10.3390/math10020176

Cited by 4 publications

(3 citation statements)

References 21 publications

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“…In [25], certain bounds for statistical curvatures of submanifolds with any codimension of K.l.s.m were obtained. Now, we give the following examples on β-K.l.s.m: Example 1.…”

Section: Kenmotsu-like Statistical Manifolds (Klsm)mentioning

confidence: 99%

A Study of Kenmotsu-like Statistical Submersions

et al. 2022

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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.

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“…In [25], certain bounds for statistical curvatures of submanifolds with any codimension of K.l.s.m were obtained. Now, we give the following examples on β-K.l.s.m: Example 1.…”

Section: Kenmotsu-like Statistical Manifolds (Klsm)mentioning

confidence: 99%

A Study of Kenmotsu-like Statistical Submersions

et al. 2022

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“…The research of Ricci solitons, Yamabe solitons, and their variants in diverse geometric contexts has gained significant traction over the last two decades, with applications in fields such as general relativity, applied mathematics, and theoretical physics. These investigations have been extended to almost contact manifolds, including work by Nagaraja and Premalatha [15], Blaga [16,17], Calin [18], Danish [19,20], Aliya et al [21][22][23], and others [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds

Ahmadini,

Siddiqi,

Siddiqui

2024

Mathematics

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In this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe solitons on submanifolds with both concircular and concurrent vector fields. Concluding our research, we offer a compelling example featuring a 5-dimensional Kenmotsu statistical manifold that accommodates both a statistical soliton and an almost quasi-Yamabe soliton. This example serves to reinforce and validate the principles discussed throughout our study.

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“…The impression of statistical manifolds was initially announced by S. Amari [2] and the basic properties of hypersurfaces were ÖMER AKSU, ESRA ERKAN and MEHMET G ÜLBAHAR revealed by H. Furuhata in [11,12]. Later, this concept admitting complex, contact and product structures was examined by various authors in [4,5,[15][16][17]21].…”

Section: Introductionmentioning

confidence: 99%